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Finding the Fourth Proportional to 463,875.14, 695,593.40 and 179,698.79

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Solution

The fourth proportional to 463,875.14, 695,593.40 and 179,698.79 is: 269,463.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,875.14 : 695,593.40 = 179,698.79 : x
  2. Step 2: Convert to fraction form
    463,875.14/695,593.40 = 179,698.79/x
  3. Step 3: Cross multiply
    463,875.14x = 695,593.40 × 179,698.79
  4. Step 4: Simplify right side
    463,875.14x = 124,997,290,123.76
  5. Step 5: Solve for x
    x = 124,997,290,123.76/463,875.14
  6. Step 6: Final answer
    x = 269,463.22

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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.