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Finding the Fourth Proportional to 777,547.17, 1,073,020.13 and 433,404.96

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Solution

The fourth proportional to 777,547.17, 1,073,020.13 and 433,404.96 is: 598,101.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    777,547.17 : 1,073,020.13 = 433,404.96 : x
  2. Step 2: Convert to fraction form
    777,547.17/1,073,020.13 = 433,404.96/x
  3. Step 3: Cross multiply
    777,547.17x = 1,073,020.13 × 433,404.96
  4. Step 4: Simplify right side
    777,547.17x = 465,052,244,354.82
  5. Step 5: Solve for x
    x = 465,052,244,354.82/777,547.17
  6. Step 6: Final answer
    x = 598,101.65

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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.