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Finding the Fourth Proportional to 584,758.74, 876,431.70 and 284,789.82

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Solution

The fourth proportional to 584,758.74, 876,431.70 and 284,789.82 is: 426,840.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,758.74 : 876,431.70 = 284,789.82 : x
  2. Step 2: Convert to fraction form
    584,758.74/876,431.70 = 284,789.82/x
  3. Step 3: Cross multiply
    584,758.74x = 876,431.70 × 284,789.82
  4. Step 4: Simplify right side
    584,758.74x = 249,598,826,085.29
  5. Step 5: Solve for x
    x = 249,598,826,085.29/584,758.74
  6. Step 6: Final answer
    x = 426,840.69

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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.