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Finding the Fourth Proportional to 472,361.80, 708,089.10 and 156,656.20

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Solution

The fourth proportional to 472,361.80, 708,089.10 and 156,656.20 is: 234,833.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,361.80 : 708,089.10 = 156,656.20 : x
  2. Step 2: Convert to fraction form
    472,361.80/708,089.10 = 156,656.20/x
  3. Step 3: Cross multiply
    472,361.80x = 708,089.10 × 156,656.20
  4. Step 4: Simplify right side
    472,361.80x = 110,926,547,667.42
  5. Step 5: Solve for x
    x = 110,926,547,667.42/472,361.80
  6. Step 6: Final answer
    x = 234,833.87

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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.