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Finding the Fourth Proportional to 542,657.56, 748,914.78 and 316,298.20

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Solution

The fourth proportional to 542,657.56, 748,914.78 and 316,298.20 is: 436,519.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,657.56 : 748,914.78 = 316,298.20 : x
  2. Step 2: Convert to fraction form
    542,657.56/748,914.78 = 316,298.20/x
  3. Step 3: Cross multiply
    542,657.56x = 748,914.78 × 316,298.20
  4. Step 4: Simplify right side
    542,657.56x = 236,880,396,867.40
  5. Step 5: Solve for x
    x = 236,880,396,867.40/542,657.56
  6. Step 6: Final answer
    x = 436,519.11

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.