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Finding the Fourth Proportional to 402,965.60, 604,885.80 and 314,610.80

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Solution

The fourth proportional to 402,965.60, 604,885.80 and 314,610.80 is: 472,257.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,965.60 : 604,885.80 = 314,610.80 : x
  2. Step 2: Convert to fraction form
    402,965.60/604,885.80 = 314,610.80/x
  3. Step 3: Cross multiply
    402,965.60x = 604,885.80 × 314,610.80
  4. Step 4: Simplify right side
    402,965.60x = 190,303,605,446.64
  5. Step 5: Solve for x
    x = 190,303,605,446.64/402,965.60
  6. Step 6: Final answer
    x = 472,257.70

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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.