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Finding the Fourth Proportional to 472,343.91, 708,653.90 and 152,488.27

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Solution

The fourth proportional to 472,343.91, 708,653.90 and 152,488.27 is: 228,776.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,343.91 : 708,653.90 = 152,488.27 : x
  2. Step 2: Convert to fraction form
    472,343.91/708,653.90 = 152,488.27/x
  3. Step 3: Cross multiply
    472,343.91x = 708,653.90 × 152,488.27
  4. Step 4: Simplify right side
    472,343.91x = 108,061,407,239.75
  5. Step 5: Solve for x
    x = 108,061,407,239.75/472,343.91
  6. Step 6: Final answer
    x = 228,776.97

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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.