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Finding the Fourth Proportional to 472,298.20, 708,270.96 and 152,369.72

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Solution

The fourth proportional to 472,298.20, 708,270.96 and 152,369.72 is: 228,497.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,298.20 : 708,270.96 = 152,369.72 : x
  2. Step 2: Convert to fraction form
    472,298.20/708,270.96 = 152,369.72/x
  3. Step 3: Cross multiply
    472,298.20x = 708,270.96 × 152,369.72
  4. Step 4: Simplify right side
    472,298.20x = 107,919,044,317.98
  5. Step 5: Solve for x
    x = 107,919,044,317.98/472,298.20
  6. Step 6: Final answer
    x = 228,497.68

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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.