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Finding the Fourth Proportional to 516,376.53, 712,585.47 and 286,927.91

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Solution

The fourth proportional to 516,376.53, 712,585.47 and 286,927.91 is: 395,952.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,376.53 : 712,585.47 = 286,927.91 : x
  2. Step 2: Convert to fraction form
    516,376.53/712,585.47 = 286,927.91/x
  3. Step 3: Cross multiply
    516,376.53x = 712,585.47 × 286,927.91
  4. Step 4: Simplify right side
    516,376.53x = 204,460,659,603.47
  5. Step 5: Solve for x
    x = 204,460,659,603.47/516,376.53
  6. Step 6: Final answer
    x = 395,952.66

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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.