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Finding the Fourth Proportional to 584,790.84, 877,217.58 and 185,461.92

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Solution

The fourth proportional to 584,790.84, 877,217.58 and 185,461.92 is: 278,202.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,790.84 : 877,217.58 = 185,461.92 : x
  2. Step 2: Convert to fraction form
    584,790.84/877,217.58 = 185,461.92/x
  3. Step 3: Cross multiply
    584,790.84x = 877,217.58 × 185,461.92
  4. Step 4: Simplify right side
    584,790.84x = 162,690,456,644.55
  5. Step 5: Solve for x
    x = 162,690,456,644.55/584,790.84
  6. Step 6: Final answer
    x = 278,202.81

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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.