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Finding the Fourth Proportional to 516,041.70, 712,113.91 and 286,613.66

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Solution

The fourth proportional to 516,041.70, 712,113.91 and 286,613.66 is: 395,513.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,041.70 : 712,113.91 = 286,613.66 : x
  2. Step 2: Convert to fraction form
    516,041.70/712,113.91 = 286,613.66/x
  3. Step 3: Cross multiply
    516,041.70x = 712,113.91 × 286,613.66
  4. Step 4: Simplify right side
    516,041.70x = 204,101,569,804.91
  5. Step 5: Solve for x
    x = 204,101,569,804.91/516,041.70
  6. Step 6: Final answer
    x = 395,513.71

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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.