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Finding the Fourth Proportional to 488,742.40, 732,894.90 and 189,123.40

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Solution

The fourth proportional to 488,742.40, 732,894.90 and 189,123.40 is: 283,600.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,742.40 : 732,894.90 = 189,123.40 : x
  2. Step 2: Convert to fraction form
    488,742.40/732,894.90 = 189,123.40/x
  3. Step 3: Cross multiply
    488,742.40x = 732,894.90 × 189,123.40
  4. Step 4: Simplify right side
    488,742.40x = 138,607,575,330.66
  5. Step 5: Solve for x
    x = 138,607,575,330.66/488,742.40
  6. Step 6: Final answer
    x = 283,600.47

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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.