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Finding the Fourth Proportional to 516,048.24, 712,146.48 and 289,693.52

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Solution

The fourth proportional to 516,048.24, 712,146.48 and 289,693.52 is: 399,777.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,048.24 : 712,146.48 = 289,693.52 : x
  2. Step 2: Convert to fraction form
    516,048.24/712,146.48 = 289,693.52/x
  3. Step 3: Cross multiply
    516,048.24x = 712,146.48 × 289,693.52
  4. Step 4: Simplify right side
    516,048.24x = 206,304,220,546.81
  5. Step 5: Solve for x
    x = 206,304,220,546.81/516,048.24
  6. Step 6: Final answer
    x = 399,777.01

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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.