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Finding the Fourth Proportional to 652,838.16, 978,337.92 and 519,125.04

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Solution

The fourth proportional to 652,838.16, 978,337.92 and 519,125.04 is: 777,956.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,838.16 : 978,337.92 = 519,125.04 : x
  2. Step 2: Convert to fraction form
    652,838.16/978,337.92 = 519,125.04/x
  3. Step 3: Cross multiply
    652,838.16x = 978,337.92 × 519,125.04
  4. Step 4: Simplify right side
    652,838.16x = 507,879,711,853.52
  5. Step 5: Solve for x
    x = 507,879,711,853.52/652,838.16
  6. Step 6: Final answer
    x = 777,956.53

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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.