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Finding the Fourth Proportional to 517,962.28, 714,776.82 and 288,518.68

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Solution

The fourth proportional to 517,962.28, 714,776.82 and 288,518.68 is: 398,149.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,962.28 : 714,776.82 = 288,518.68 : x
  2. Step 2: Convert to fraction form
    517,962.28/714,776.82 = 288,518.68/x
  3. Step 3: Cross multiply
    517,962.28x = 714,776.82 × 288,518.68
  4. Step 4: Simplify right side
    517,962.28x = 206,226,464,601.00
  5. Step 5: Solve for x
    x = 206,226,464,601.00/517,962.28
  6. Step 6: Final answer
    x = 398,149.58

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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.