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Finding the Fourth Proportional to 472,327.07, 708,314.28 and 152,398.59

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Solution

The fourth proportional to 472,327.07, 708,314.28 and 152,398.59 is: 228,540.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,327.07 : 708,314.28 = 152,398.59 : x
  2. Step 2: Convert to fraction form
    472,327.07/708,314.28 = 152,398.59/x
  3. Step 3: Cross multiply
    472,327.07x = 708,314.28 × 152,398.59
  4. Step 4: Simplify right side
    472,327.07x = 107,946,096,786.87
  5. Step 5: Solve for x
    x = 107,946,096,786.87/472,327.07
  6. Step 6: Final answer
    x = 228,540.99

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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.