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Finding the Fourth Proportional to 304,764.72, 457,177.13 and 105,058.83

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Solution

The fourth proportional to 304,764.72, 457,177.13 and 105,058.83 is: 157,598.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,764.72 : 457,177.13 = 105,058.83 : x
  2. Step 2: Convert to fraction form
    304,764.72/457,177.13 = 105,058.83/x
  3. Step 3: Cross multiply
    304,764.72x = 457,177.13 × 105,058.83
  4. Step 4: Simplify right side
    304,764.72x = 48,030,493,855.26
  5. Step 5: Solve for x
    x = 48,030,493,855.26/304,764.72
  6. Step 6: Final answer
    x = 157,598.60

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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.