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Finding the Fourth Proportional to 508,513.97, 701,702.89 and 301,746.73

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Solution

The fourth proportional to 508,513.97, 701,702.89 and 301,746.73 is: 416,382.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,513.97 : 701,702.89 = 301,746.73 : x
  2. Step 2: Convert to fraction form
    508,513.97/701,702.89 = 301,746.73/x
  3. Step 3: Cross multiply
    508,513.97x = 701,702.89 × 301,746.73
  4. Step 4: Simplify right side
    508,513.97x = 211,736,552,489.05
  5. Step 5: Solve for x
    x = 211,736,552,489.05/508,513.97
  6. Step 6: Final answer
    x = 416,382.96

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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.