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Finding the Fourth Proportional to 657,496.24, 907,342.92 and 355,690

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Solution

The fourth proportional to 657,496.24, 907,342.92 and 355,690 is: 490,851.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,496.24 : 907,342.92 = 355,690 : x
  2. Step 2: Convert to fraction form
    657,496.24/907,342.92 = 355,690/x
  3. Step 3: Cross multiply
    657,496.24x = 907,342.92 × 355,690
  4. Step 4: Simplify right side
    657,496.24x = 322,732,803,214.80
  5. Step 5: Solve for x
    x = 322,732,803,214.80/657,496.24
  6. Step 6: Final answer
    x = 490,851.18

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