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Finding the Fourth Proportional to 857,700.78, 1,183,627.74 and 475,730.30

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Solution

The fourth proportional to 857,700.78, 1,183,627.74 and 475,730.30 is: 656,508.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    857,700.78 : 1,183,627.74 = 475,730.30 : x
  2. Step 2: Convert to fraction form
    857,700.78/1,183,627.74 = 475,730.30/x
  3. Step 3: Cross multiply
    857,700.78x = 1,183,627.74 × 475,730.30
  4. Step 4: Simplify right side
    857,700.78x = 563,087,573,920.38
  5. Step 5: Solve for x
    x = 563,087,573,920.38/857,700.78
  6. Step 6: Final answer
    x = 656,508.18

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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.