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Finding the Fourth Proportional to 477,034.98, 715,585.59 and 161,385.18

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Solution

The fourth proportional to 477,034.98, 715,585.59 and 161,385.18 is: 242,088.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,034.98 : 715,585.59 = 161,385.18 : x
  2. Step 2: Convert to fraction form
    477,034.98/715,585.59 = 161,385.18/x
  3. Step 3: Cross multiply
    477,034.98x = 715,585.59 × 161,385.18
  4. Step 4: Simplify right side
    477,034.98x = 115,484,909,247.56
  5. Step 5: Solve for x
    x = 115,484,909,247.56/477,034.98
  6. Step 6: Final answer
    x = 242,088.97

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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.