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Finding the Fourth Proportional to 614,438.10, 921,657.15 and 171,206.10

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Solution

The fourth proportional to 614,438.10, 921,657.15 and 171,206.10 is: 256,809.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,438.10 : 921,657.15 = 171,206.10 : x
  2. Step 2: Convert to fraction form
    614,438.10/921,657.15 = 171,206.10/x
  3. Step 3: Cross multiply
    614,438.10x = 921,657.15 × 171,206.10
  4. Step 4: Simplify right side
    614,438.10x = 157,793,326,188.62
  5. Step 5: Solve for x
    x = 157,793,326,188.62/614,438.10
  6. Step 6: Final answer
    x = 256,809.15

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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.