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Finding the Fourth Proportional to 559,441, 839,294.34 and 185,464

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Solution

The fourth proportional to 559,441, 839,294.34 and 185,464 is: 278,240.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,441 : 839,294.34 = 185,464 : x
  2. Step 2: Convert to fraction form
    559,441/839,294.34 = 185,464/x
  3. Step 3: Cross multiply
    559,441x = 839,294.34 × 185,464
  4. Step 4: Simplify right side
    559,441x = 155,658,885,473.76
  5. Step 5: Solve for x
    x = 155,658,885,473.76/559,441
  6. Step 6: Final answer
    x = 278,240.04

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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.