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Finding the Fourth Proportional to 761,695.88, 1,142,704.02 and 288,370.76

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Solution

The fourth proportional to 761,695.88, 1,142,704.02 and 288,370.76 is: 432,616.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    761,695.88 : 1,142,704.02 = 288,370.76 : x
  2. Step 2: Convert to fraction form
    761,695.88/1,142,704.02 = 288,370.76/x
  3. Step 3: Cross multiply
    761,695.88x = 1,142,704.02 × 288,370.76
  4. Step 4: Simplify right side
    761,695.88x = 329,522,426,702.46
  5. Step 5: Solve for x
    x = 329,522,426,702.46/761,695.88
  6. Step 6: Final answer
    x = 432,616.79

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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.