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Finding the Fourth Proportional to 502,020.60, 753,614.10 and 302,566.20

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Solution

The fourth proportional to 502,020.60, 753,614.10 and 302,566.20 is: 454,200.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,020.60 : 753,614.10 = 302,566.20 : x
  2. Step 2: Convert to fraction form
    502,020.60/753,614.10 = 302,566.20/x
  3. Step 3: Cross multiply
    502,020.60x = 753,614.10 × 302,566.20
  4. Step 4: Simplify right side
    502,020.60x = 228,018,154,503.42
  5. Step 5: Solve for x
    x = 228,018,154,503.42/502,020.60
  6. Step 6: Final answer
    x = 454,200.79

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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.