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Finding the Fourth Proportional to 434,233.60, 652,041.60 and 294,611.20

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Solution

The fourth proportional to 434,233.60, 652,041.60 and 294,611.20 is: 442,385.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,233.60 : 652,041.60 = 294,611.20 : x
  2. Step 2: Convert to fraction form
    434,233.60/652,041.60 = 294,611.20/x
  3. Step 3: Cross multiply
    434,233.60x = 652,041.60 × 294,611.20
  4. Step 4: Simplify right side
    434,233.60x = 192,098,758,225.92
  5. Step 5: Solve for x
    x = 192,098,758,225.92/434,233.60
  6. Step 6: Final answer
    x = 442,385.75

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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.