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Finding the Fourth Proportional to 586,751.04, 880,082.82 and 187,434

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Solution

The fourth proportional to 586,751.04, 880,082.82 and 187,434 is: 281,137.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,751.04 : 880,082.82 = 187,434 : x
  2. Step 2: Convert to fraction form
    586,751.04/880,082.82 = 187,434/x
  3. Step 3: Cross multiply
    586,751.04x = 880,082.82 × 187,434
  4. Step 4: Simplify right side
    586,751.04x = 164,957,443,283.88
  5. Step 5: Solve for x
    x = 164,957,443,283.88/586,751.04
  6. Step 6: Final answer
    x = 281,137.03

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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.