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Finding the Fourth Proportional to 614,432.20, 921,648.30 and 509,369.80

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Solution

The fourth proportional to 614,432.20, 921,648.30 and 509,369.80 is: 764,054.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,432.20 : 921,648.30 = 509,369.80 : x
  2. Step 2: Convert to fraction form
    614,432.20/921,648.30 = 509,369.80/x
  3. Step 3: Cross multiply
    614,432.20x = 921,648.30 × 509,369.80
  4. Step 4: Simplify right side
    614,432.20x = 469,459,810,241.34
  5. Step 5: Solve for x
    x = 469,459,810,241.34/614,432.20
  6. Step 6: Final answer
    x = 764,054.70

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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.