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Finding the Fourth Proportional to 465,510.60, 698,265.90 and 229,314.60

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Solution

The fourth proportional to 465,510.60, 698,265.90 and 229,314.60 is: 343,971.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,510.60 : 698,265.90 = 229,314.60 : x
  2. Step 2: Convert to fraction form
    465,510.60/698,265.90 = 229,314.60/x
  3. Step 3: Cross multiply
    465,510.60x = 698,265.90 × 229,314.60
  4. Step 4: Simplify right side
    465,510.60x = 160,122,565,552.14
  5. Step 5: Solve for x
    x = 160,122,565,552.14/465,510.60
  6. Step 6: Final answer
    x = 343,971.90

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Similar ratio
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1.5x scale

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.