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Finding the Fourth Proportional to 586,538.52, 879,823.05 and 187,178.76

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Solution

The fourth proportional to 586,538.52, 879,823.05 and 187,178.76 is: 280,773.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,538.52 : 879,823.05 = 187,178.76 : x
  2. Step 2: Convert to fraction form
    586,538.52/879,823.05 = 187,178.76/x
  3. Step 3: Cross multiply
    586,538.52x = 879,823.05 × 187,178.76
  4. Step 4: Simplify right side
    586,538.52x = 164,684,187,518.42
  5. Step 5: Solve for x
    x = 164,684,187,518.42/586,538.52
  6. Step 6: Final answer
    x = 280,773.01

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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.