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Finding the Fourth Proportional to 584,832.84, 877,280.64 and 185,503.92

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Solution

The fourth proportional to 584,832.84, 877,280.64 and 185,503.92 is: 278,265.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,832.84 : 877,280.64 = 185,503.92 : x
  2. Step 2: Convert to fraction form
    584,832.84/877,280.64 = 185,503.92/x
  3. Step 3: Cross multiply
    584,832.84x = 877,280.64 × 185,503.92
  4. Step 4: Simplify right side
    584,832.84x = 162,738,997,660.11
  5. Step 5: Solve for x
    x = 162,738,997,660.11/584,832.84
  6. Step 6: Final answer
    x = 278,265.83

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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.