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Finding the Fourth Proportional to 733,461.52, 1,012,260.88 and 411,258.64

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Solution

The fourth proportional to 733,461.52, 1,012,260.88 and 411,258.64 is: 567,584.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    733,461.52 : 1,012,260.88 = 411,258.64 : x
  2. Step 2: Convert to fraction form
    733,461.52/1,012,260.88 = 411,258.64/x
  3. Step 3: Cross multiply
    733,461.52x = 1,012,260.88 × 411,258.64
  4. Step 4: Simplify right side
    733,461.52x = 416,301,032,834.00
  5. Step 5: Solve for x
    x = 416,301,032,834.00/733,461.52
  6. Step 6: Final answer
    x = 567,584.01

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.