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Finding the Fourth Proportional to 619,282, 929,079.12 and 176,050

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Solution

The fourth proportional to 619,282, 929,079.12 and 176,050 is: 264,119.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,282 : 929,079.12 = 176,050 : x
  2. Step 2: Convert to fraction form
    619,282/929,079.12 = 176,050/x
  3. Step 3: Cross multiply
    619,282x = 929,079.12 × 176,050
  4. Step 4: Simplify right side
    619,282x = 163,564,379,076
  5. Step 5: Solve for x
    x = 163,564,379,076/619,282
  6. Step 6: Final answer
    x = 264,119.38

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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.