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Finding the Fourth Proportional to 733,307.76, 1,012,005 and 411,121.44

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Solution

The fourth proportional to 733,307.76, 1,012,005 and 411,121.44 is: 567,370.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    733,307.76 : 1,012,005 = 411,121.44 : x
  2. Step 2: Convert to fraction form
    733,307.76/1,012,005 = 411,121.44/x
  3. Step 3: Cross multiply
    733,307.76x = 1,012,005 × 411,121.44
  4. Step 4: Simplify right side
    733,307.76x = 416,056,952,887.20
  5. Step 5: Solve for x
    x = 416,056,952,887.20/733,307.76
  6. Step 6: Final answer
    x = 567,370.18

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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.