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Finding the Fourth Proportional to 304,805.12, 457,210.08 and 94,441.76

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Solution

The fourth proportional to 304,805.12, 457,210.08 and 94,441.76 is: 141,663.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,805.12 : 457,210.08 = 94,441.76 : x
  2. Step 2: Convert to fraction form
    304,805.12/457,210.08 = 94,441.76/x
  3. Step 3: Cross multiply
    304,805.12x = 457,210.08 × 94,441.76
  4. Step 4: Simplify right side
    304,805.12x = 43,179,724,644.94
  5. Step 5: Solve for x
    x = 43,179,724,644.94/304,805.12
  6. Step 6: Final answer
    x = 141,663.38

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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.