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Finding the Fourth Proportional to 472,643.43, 708,503.82 and 188,248.68

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Solution

The fourth proportional to 472,643.43, 708,503.82 and 188,248.68 is: 282,189.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,643.43 : 708,503.82 = 188,248.68 : x
  2. Step 2: Convert to fraction form
    472,643.43/708,503.82 = 188,248.68/x
  3. Step 3: Cross multiply
    472,643.43x = 708,503.82 × 188,248.68
  4. Step 4: Simplify right side
    472,643.43x = 133,374,908,889.96
  5. Step 5: Solve for x
    x = 133,374,908,889.96/472,643.43
  6. Step 6: Final answer
    x = 282,189.28

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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.