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Finding the Fourth Proportional to 488,228.96, 732,455.22 and 188,712.02

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Solution

The fourth proportional to 488,228.96, 732,455.22 and 188,712.02 is: 283,111.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,228.96 : 732,455.22 = 188,712.02 : x
  2. Step 2: Convert to fraction form
    488,228.96/732,455.22 = 188,712.02/x
  3. Step 3: Cross multiply
    488,228.96x = 732,455.22 × 188,712.02
  4. Step 4: Simplify right side
    488,228.96x = 138,223,104,125.74
  5. Step 5: Solve for x
    x = 138,223,104,125.74/488,228.96
  6. Step 6: Final answer
    x = 283,111.24

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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.