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Finding the Fourth Proportional to 517,777.92, 714,488.04 and 288,317.88

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Solution

The fourth proportional to 517,777.92, 714,488.04 and 288,317.88 is: 397,853.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,777.92 : 714,488.04 = 288,317.88 : x
  2. Step 2: Convert to fraction form
    517,777.92/714,488.04 = 288,317.88/x
  3. Step 3: Cross multiply
    517,777.92x = 714,488.04 × 288,317.88
  4. Step 4: Simplify right side
    517,777.92x = 205,999,676,978.16
  5. Step 5: Solve for x
    x = 205,999,676,978.16/517,777.92
  6. Step 6: Final answer
    x = 397,853.34

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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.