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Finding the Fourth Proportional to 447,917.76, 671,798.88 and 152,429.76

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Solution

The fourth proportional to 447,917.76, 671,798.88 and 152,429.76 is: 228,618.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,917.76 : 671,798.88 = 152,429.76 : x
  2. Step 2: Convert to fraction form
    447,917.76/671,798.88 = 152,429.76/x
  3. Step 3: Cross multiply
    447,917.76x = 671,798.88 × 152,429.76
  4. Step 4: Simplify right side
    447,917.76x = 102,402,142,046.67
  5. Step 5: Solve for x
    x = 102,402,142,046.67/447,917.76
  6. Step 6: Final answer
    x = 228,618.18

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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.