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Finding the Fourth Proportional to 398,285.66, 597,545.13 and 117,810.38

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Solution

The fourth proportional to 398,285.66, 597,545.13 and 117,810.38 is: 176,750.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,285.66 : 597,545.13 = 117,810.38 : x
  2. Step 2: Convert to fraction form
    398,285.66/597,545.13 = 117,810.38/x
  3. Step 3: Cross multiply
    398,285.66x = 597,545.13 × 117,810.38
  4. Step 4: Simplify right side
    398,285.66x = 70,397,018,832.45
  5. Step 5: Solve for x
    x = 70,397,018,832.45/398,285.66
  6. Step 6: Final answer
    x = 176,750.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.