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Finding the Fourth Proportional to 583,838.92, 875,784.42 and 179,002

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Solution

The fourth proportional to 583,838.92, 875,784.42 and 179,002 is: 268,510.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,838.92 : 875,784.42 = 179,002 : x
  2. Step 2: Convert to fraction form
    583,838.92/875,784.42 = 179,002/x
  3. Step 3: Cross multiply
    583,838.92x = 875,784.42 × 179,002
  4. Step 4: Simplify right side
    583,838.92x = 156,767,162,748.84
  5. Step 5: Solve for x
    x = 156,767,162,748.84/583,838.92
  6. Step 6: Final answer
    x = 268,510.98

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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.