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Finding the Fourth Proportional to 304,006.10, 456,058.16 and 93,643.84

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Solution

The fourth proportional to 304,006.10, 456,058.16 and 93,643.84 is: 140,480.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,006.10 : 456,058.16 = 93,643.84 : x
  2. Step 2: Convert to fraction form
    304,006.10/456,058.16 = 93,643.84/x
  3. Step 3: Cross multiply
    304,006.10x = 456,058.16 × 93,643.84
  4. Step 4: Simplify right side
    304,006.10x = 42,707,037,365.73
  5. Step 5: Solve for x
    x = 42,707,037,365.73/304,006.10
  6. Step 6: Final answer
    x = 140,480.86

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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.