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Finding the Fourth Proportional to 472,894.60, 709,663.18 and 192,462.88

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Solution

The fourth proportional to 472,894.60, 709,663.18 and 192,462.88 is: 288,825.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,894.60 : 709,663.18 = 192,462.88 : x
  2. Step 2: Convert to fraction form
    472,894.60/709,663.18 = 192,462.88/x
  3. Step 3: Cross multiply
    472,894.60x = 709,663.18 × 192,462.88
  4. Step 4: Simplify right side
    472,894.60x = 136,583,819,452.76
  5. Step 5: Solve for x
    x = 136,583,819,452.76/472,894.60
  6. Step 6: Final answer
    x = 288,825.08

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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.