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Finding the Fourth Proportional to 586,123.11, 879,175.05 and 186,758.48

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Solution

The fourth proportional to 586,123.11, 879,175.05 and 186,758.48 is: 280,134.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,123.11 : 879,175.05 = 186,758.48 : x
  2. Step 2: Convert to fraction form
    586,123.11/879,175.05 = 186,758.48/x
  3. Step 3: Cross multiply
    586,123.11x = 879,175.05 × 186,758.48
  4. Step 4: Simplify right side
    586,123.11x = 164,193,391,596.05
  5. Step 5: Solve for x
    x = 164,193,391,596.05/586,123.11
  6. Step 6: Final answer
    x = 280,134.65

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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.