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Finding the Fourth Proportional to 294,658.20, 442,437.66 and 282,527.64

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Solution

The fourth proportional to 294,658.20, 442,437.66 and 282,527.64 is: 424,223.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,658.20 : 442,437.66 = 282,527.64 : x
  2. Step 2: Convert to fraction form
    294,658.20/442,437.66 = 282,527.64/x
  3. Step 3: Cross multiply
    294,658.20x = 442,437.66 × 282,527.64
  4. Step 4: Simplify right side
    294,658.20x = 125,000,867,926.92
  5. Step 5: Solve for x
    x = 125,000,867,926.92/294,658.20
  6. Step 6: Final answer
    x = 424,223.28

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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.