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Finding the Fourth Proportional to 412,752.80, 619,129.20 and 319,325.60

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Solution

The fourth proportional to 412,752.80, 619,129.20 and 319,325.60 is: 478,988.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,752.80 : 619,129.20 = 319,325.60 : x
  2. Step 2: Convert to fraction form
    412,752.80/619,129.20 = 319,325.60/x
  3. Step 3: Cross multiply
    412,752.80x = 619,129.20 × 319,325.60
  4. Step 4: Simplify right side
    412,752.80x = 197,703,803,267.52
  5. Step 5: Solve for x
    x = 197,703,803,267.52/412,752.80
  6. Step 6: Final answer
    x = 478,988.40

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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.