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Finding the Fourth Proportional to 484,651.52, 727,094.70 and 152,227.52

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Solution

The fourth proportional to 484,651.52, 727,094.70 and 152,227.52 is: 228,378.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,651.52 : 727,094.70 = 152,227.52 : x
  2. Step 2: Convert to fraction form
    484,651.52/727,094.70 = 152,227.52/x
  3. Step 3: Cross multiply
    484,651.52x = 727,094.70 × 152,227.52
  4. Step 4: Simplify right side
    484,651.52x = 110,683,822,986.14
  5. Step 5: Solve for x
    x = 110,683,822,986.14/484,651.52
  6. Step 6: Final answer
    x = 228,378.16

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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.