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Finding the Fourth Proportional to 380,737.60, 571,106.40 and 100,283.20

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Solution

The fourth proportional to 380,737.60, 571,106.40 and 100,283.20 is: 150,424.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,737.60 : 571,106.40 = 100,283.20 : x
  2. Step 2: Convert to fraction form
    380,737.60/571,106.40 = 100,283.20/x
  3. Step 3: Cross multiply
    380,737.60x = 571,106.40 × 100,283.20
  4. Step 4: Simplify right side
    380,737.60x = 57,272,377,332.48
  5. Step 5: Solve for x
    x = 57,272,377,332.48/380,737.60
  6. Step 6: Final answer
    x = 150,424.80

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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.