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Finding the Fourth Proportional to 559,442, 839,295.84 and 185,465

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Solution

The fourth proportional to 559,442, 839,295.84 and 185,465 is: 278,241.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,442 : 839,295.84 = 185,465 : x
  2. Step 2: Convert to fraction form
    559,442/839,295.84 = 185,465/x
  3. Step 3: Cross multiply
    559,442x = 839,295.84 × 185,465
  4. Step 4: Simplify right side
    559,442x = 155,660,002,965.60
  5. Step 5: Solve for x
    x = 155,660,002,965.60/559,442
  6. Step 6: Final answer
    x = 278,241.54

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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.