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Finding the Fourth Proportional to 516,013.67, 712,034.39 and 286,539.75

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Solution

The fourth proportional to 516,013.67, 712,034.39 and 286,539.75 is: 395,389.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,013.67 : 712,034.39 = 286,539.75 : x
  2. Step 2: Convert to fraction form
    516,013.67/712,034.39 = 286,539.75/x
  3. Step 3: Cross multiply
    516,013.67x = 712,034.39 × 286,539.75
  4. Step 4: Simplify right side
    516,013.67x = 204,026,154,669.30
  5. Step 5: Solve for x
    x = 204,026,154,669.30/516,013.67
  6. Step 6: Final answer
    x = 395,389.05

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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.