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Finding the Fourth Proportional to 516,386.11, 712,598.61 and 286,937.46

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Solution

The fourth proportional to 516,386.11, 712,598.61 and 286,937.46 is: 395,965.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,386.11 : 712,598.61 = 286,937.46 : x
  2. Step 2: Convert to fraction form
    516,386.11/712,598.61 = 286,937.46/x
  3. Step 3: Cross multiply
    516,386.11x = 712,598.61 × 286,937.46
  4. Step 4: Simplify right side
    516,386.11x = 204,471,235,152.93
  5. Step 5: Solve for x
    x = 204,471,235,152.93/516,386.11
  6. Step 6: Final answer
    x = 395,965.79

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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.