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Finding the Fourth Proportional to 477,088.87, 715,660.09 and 152,905.14

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Solution

The fourth proportional to 477,088.87, 715,660.09 and 152,905.14 is: 229,366.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,088.87 : 715,660.09 = 152,905.14 : x
  2. Step 2: Convert to fraction form
    477,088.87/715,660.09 = 152,905.14/x
  3. Step 3: Cross multiply
    477,088.87x = 715,660.09 × 152,905.14
  4. Step 4: Simplify right side
    477,088.87x = 109,428,106,253.86
  5. Step 5: Solve for x
    x = 109,428,106,253.86/477,088.87
  6. Step 6: Final answer
    x = 229,366.29

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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.