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Finding the Fourth Proportional to 477,087.87, 715,658.59 and 152,904.14

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Solution

The fourth proportional to 477,087.87, 715,658.59 and 152,904.14 is: 229,364.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,087.87 : 715,658.59 = 152,904.14 : x
  2. Step 2: Convert to fraction form
    477,087.87/715,658.59 = 152,904.14/x
  3. Step 3: Cross multiply
    477,087.87x = 715,658.59 × 152,904.14
  4. Step 4: Simplify right side
    477,087.87x = 109,427,160,534.12
  5. Step 5: Solve for x
    x = 109,427,160,534.12/477,087.87
  6. Step 6: Final answer
    x = 229,364.79

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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.