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Finding the Fourth Proportional to 495,686.72, 684,045.99 and 280,867.74

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Solution

The fourth proportional to 495,686.72, 684,045.99 and 280,867.74 is: 387,596.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,686.72 : 684,045.99 = 280,867.74 : x
  2. Step 2: Convert to fraction form
    495,686.72/684,045.99 = 280,867.74/x
  3. Step 3: Cross multiply
    495,686.72x = 684,045.99 × 280,867.74
  4. Step 4: Simplify right side
    495,686.72x = 192,126,451,267.36
  5. Step 5: Solve for x
    x = 192,126,451,267.36/495,686.72
  6. Step 6: Final answer
    x = 387,596.53

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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.