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Finding the Fourth Proportional to 657,863.16, 907,873.12 and 403,165.14

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Solution

The fourth proportional to 657,863.16, 907,873.12 and 403,165.14 is: 556,381.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,863.16 : 907,873.12 = 403,165.14 : x
  2. Step 2: Convert to fraction form
    657,863.16/907,873.12 = 403,165.14/x
  3. Step 3: Cross multiply
    657,863.16x = 907,873.12 × 403,165.14
  4. Step 4: Simplify right side
    657,863.16x = 366,022,788,987.67
  5. Step 5: Solve for x
    x = 366,022,788,987.67/657,863.16
  6. Step 6: Final answer
    x = 556,381.35

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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.