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Finding the Fourth Proportional to 304,768.32, 457,182.73 and 112,693.12

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Solution

The fourth proportional to 304,768.32, 457,182.73 and 112,693.12 is: 169,050.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,768.32 : 457,182.73 = 112,693.12 : x
  2. Step 2: Convert to fraction form
    304,768.32/457,182.73 = 112,693.12/x
  3. Step 3: Cross multiply
    304,768.32x = 457,182.73 × 112,693.12
  4. Step 4: Simplify right side
    304,768.32x = 51,521,349,823.38
  5. Step 5: Solve for x
    x = 51,521,349,823.38/304,768.32
  6. Step 6: Final answer
    x = 169,050.87

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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.