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Finding the Fourth Proportional to 577,153.62, 865,730.42 and 156,429.50

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Solution

The fourth proportional to 577,153.62, 865,730.42 and 156,429.50 is: 234,644.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,153.62 : 865,730.42 = 156,429.50 : x
  2. Step 2: Convert to fraction form
    577,153.62/865,730.42 = 156,429.50/x
  3. Step 3: Cross multiply
    577,153.62x = 865,730.42 × 156,429.50
  4. Step 4: Simplify right side
    577,153.62x = 135,425,776,735.39
  5. Step 5: Solve for x
    x = 135,425,776,735.39/577,153.62
  6. Step 6: Final answer
    x = 234,644.25

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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.