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Finding the Fourth Proportional to 447,732.84, 671,595.16 and 181,430.06

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Solution

The fourth proportional to 447,732.84, 671,595.16 and 181,430.06 is: 272,143.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,732.84 : 671,595.16 = 181,430.06 : x
  2. Step 2: Convert to fraction form
    447,732.84/671,595.16 = 181,430.06/x
  3. Step 3: Cross multiply
    447,732.84x = 671,595.16 × 181,430.06
  4. Step 4: Simplify right side
    447,732.84x = 121,847,550,174.51
  5. Step 5: Solve for x
    x = 121,847,550,174.51/447,732.84
  6. Step 6: Final answer
    x = 272,143.43

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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.