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Finding the Fourth Proportional to 305,870, 458,805.08 and 95,526

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Solution

The fourth proportional to 305,870, 458,805.08 and 95,526 is: 143,289.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,870 : 458,805.08 = 95,526 : x
  2. Step 2: Convert to fraction form
    305,870/458,805.08 = 95,526/x
  3. Step 3: Cross multiply
    305,870x = 458,805.08 × 95,526
  4. Step 4: Simplify right side
    305,870x = 43,827,814,072.08
  5. Step 5: Solve for x
    x = 43,827,814,072.08/305,870
  6. Step 6: Final answer
    x = 143,289.02

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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.