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Finding the Fourth Proportional to 516,586.80, 772,693.20 and 463,661.40

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Solution

The fourth proportional to 516,586.80, 772,693.20 and 463,661.40 is: 693,529.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,586.80 : 772,693.20 = 463,661.40 : x
  2. Step 2: Convert to fraction form
    516,586.80/772,693.20 = 463,661.40/x
  3. Step 3: Cross multiply
    516,586.80x = 772,693.20 × 463,661.40
  4. Step 4: Simplify right side
    516,586.80x = 358,268,010,882.48
  5. Step 5: Solve for x
    x = 358,268,010,882.48/516,586.80
  6. Step 6: Final answer
    x = 693,529.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.