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Finding the Fourth Proportional to 516,064.60, 712,204.14 and 388,538.20

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Solution

The fourth proportional to 516,064.60, 712,204.14 and 388,538.20 is: 536,209.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,064.60 : 712,204.14 = 388,538.20 : x
  2. Step 2: Convert to fraction form
    516,064.60/712,204.14 = 388,538.20/x
  3. Step 3: Cross multiply
    516,064.60x = 712,204.14 × 388,538.20
  4. Step 4: Simplify right side
    516,064.60x = 276,718,514,588.15
  5. Step 5: Solve for x
    x = 276,718,514,588.15/516,064.60
  6. Step 6: Final answer
    x = 536,209.06

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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.