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Finding the Fourth Proportional to 687,514.53, 948,762.86 and 381,593.55

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Solution

The fourth proportional to 687,514.53, 948,762.86 and 381,593.55 is: 526,595.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,514.53 : 948,762.86 = 381,593.55 : x
  2. Step 2: Convert to fraction form
    687,514.53/948,762.86 = 381,593.55/x
  3. Step 3: Cross multiply
    687,514.53x = 948,762.86 × 381,593.55
  4. Step 4: Simplify right side
    687,514.53x = 362,041,785,947.59
  5. Step 5: Solve for x
    x = 362,041,785,947.59/687,514.53
  6. Step 6: Final answer
    x = 526,595.10

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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.