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Finding the Fourth Proportional to 484,864.82, 727,411.70 and 152,440.82

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Solution

The fourth proportional to 484,864.82, 727,411.70 and 152,440.82 is: 228,697.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,864.82 : 727,411.70 = 152,440.82 : x
  2. Step 2: Convert to fraction form
    484,864.82/727,411.70 = 152,440.82/x
  3. Step 3: Cross multiply
    484,864.82x = 727,411.70 × 152,440.82
  4. Step 4: Simplify right side
    484,864.82x = 110,887,236,025.59
  5. Step 5: Solve for x
    x = 110,887,236,025.59/484,864.82
  6. Step 6: Final answer
    x = 228,697.22

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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.