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Finding the Fourth Proportional to 488,444.64, 732,917 and 232,566.84

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Solution

The fourth proportional to 488,444.64, 732,917 and 232,566.84 is: 348,969.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,444.64 : 732,917 = 232,566.84 : x
  2. Step 2: Convert to fraction form
    488,444.64/732,917 = 232,566.84/x
  3. Step 3: Cross multiply
    488,444.64x = 732,917 × 232,566.84
  4. Step 4: Simplify right side
    488,444.64x = 170,452,190,672.28
  5. Step 5: Solve for x
    x = 170,452,190,672.28/488,444.64
  6. Step 6: Final answer
    x = 348,969.31

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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.