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Finding the Fourth Proportional to 614,541.40, 921,812.10 and 171,309.40

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Solution

The fourth proportional to 614,541.40, 921,812.10 and 171,309.40 is: 256,964.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,541.40 : 921,812.10 = 171,309.40 : x
  2. Step 2: Convert to fraction form
    614,541.40/921,812.10 = 171,309.40/x
  3. Step 3: Cross multiply
    614,541.40x = 921,812.10 × 171,309.40
  4. Step 4: Simplify right side
    614,541.40x = 157,915,077,763.74
  5. Step 5: Solve for x
    x = 157,915,077,763.74/614,541.40
  6. Step 6: Final answer
    x = 256,964.10

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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.