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Finding the Fourth Proportional to 488,085.30, 732,237.30 and 188,539.20

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Solution

The fourth proportional to 488,085.30, 732,237.30 and 188,539.20 is: 282,851.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,085.30 : 732,237.30 = 188,539.20 : x
  2. Step 2: Convert to fraction form
    488,085.30/732,237.30 = 188,539.20/x
  3. Step 3: Cross multiply
    488,085.30x = 732,237.30 × 188,539.20
  4. Step 4: Simplify right side
    488,085.30x = 138,055,434,752.16
  5. Step 5: Solve for x
    x = 138,055,434,752.16/488,085.30
  6. Step 6: Final answer
    x = 282,851.04

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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.