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Finding the Fourth Proportional to 402,982.60, 604,911.30 and 314,627.80

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Solution

The fourth proportional to 402,982.60, 604,911.30 and 314,627.80 is: 472,283.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,982.60 : 604,911.30 = 314,627.80 : x
  2. Step 2: Convert to fraction form
    402,982.60/604,911.30 = 314,627.80/x
  3. Step 3: Cross multiply
    402,982.60x = 604,911.30 × 314,627.80
  4. Step 4: Simplify right side
    402,982.60x = 190,321,911,514.14
  5. Step 5: Solve for x
    x = 190,321,911,514.14/402,982.60
  6. Step 6: Final answer
    x = 472,283.20

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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.