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Finding the Fourth Proportional to 472,032.65, 708,344.22 and 191,549.90

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Solution

The fourth proportional to 472,032.65, 708,344.22 and 191,549.90 is: 287,444.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,032.65 : 708,344.22 = 191,549.90 : x
  2. Step 2: Convert to fraction form
    472,032.65/708,344.22 = 191,549.90/x
  3. Step 3: Cross multiply
    472,032.65x = 708,344.22 × 191,549.90
  4. Step 4: Simplify right side
    472,032.65x = 135,683,260,964.86
  5. Step 5: Solve for x
    x = 135,683,260,964.86/472,032.65
  6. Step 6: Final answer
    x = 287,444.66

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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.