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Finding the Fourth Proportional to 540,957.42, 811,691.28 and 241,411.32

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Solution

The fourth proportional to 540,957.42, 811,691.28 and 241,411.32 is: 362,230.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,957.42 : 811,691.28 = 241,411.32 : x
  2. Step 2: Convert to fraction form
    540,957.42/811,691.28 = 241,411.32/x
  3. Step 3: Cross multiply
    540,957.42x = 811,691.28 × 241,411.32
  4. Step 4: Simplify right side
    540,957.42x = 195,951,463,337.29
  5. Step 5: Solve for x
    x = 195,951,463,337.29/540,957.42
  6. Step 6: Final answer
    x = 362,230.84

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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.