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Finding the Fourth Proportional to 586,123.60, 879,175.80 and 186,758.98

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Solution

The fourth proportional to 586,123.60, 879,175.80 and 186,758.98 is: 280,135.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,123.60 : 879,175.80 = 186,758.98 : x
  2. Step 2: Convert to fraction form
    586,123.60/879,175.80 = 186,758.98/x
  3. Step 3: Cross multiply
    586,123.60x = 879,175.80 × 186,758.98
  4. Step 4: Simplify right side
    586,123.60x = 164,193,975,648.68
  5. Step 5: Solve for x
    x = 164,193,975,648.68/586,123.60
  6. Step 6: Final answer
    x = 280,135.41

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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.