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Finding the Fourth Proportional to 320,007.40, 478,844.70 and 292,013.80

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Solution

The fourth proportional to 320,007.40, 478,844.70 and 292,013.80 is: 436,956.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,007.40 : 478,844.70 = 292,013.80 : x
  2. Step 2: Convert to fraction form
    320,007.40/478,844.70 = 292,013.80/x
  3. Step 3: Cross multiply
    320,007.40x = 478,844.70 × 292,013.80
  4. Step 4: Simplify right side
    320,007.40x = 139,829,260,456.86
  5. Step 5: Solve for x
    x = 139,829,260,456.86/320,007.40
  6. Step 6: Final answer
    x = 436,956.33

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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.