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Finding the Fourth Proportional to 473,601.72, 653,570.10 and 269,642.08

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Solution

The fourth proportional to 473,601.72, 653,570.10 and 269,642.08 is: 372,105.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,601.72 : 653,570.10 = 269,642.08 : x
  2. Step 2: Convert to fraction form
    473,601.72/653,570.10 = 269,642.08/x
  3. Step 3: Cross multiply
    473,601.72x = 653,570.10 × 269,642.08
  4. Step 4: Simplify right side
    473,601.72x = 176,230,001,189.81
  5. Step 5: Solve for x
    x = 176,230,001,189.81/473,601.72
  6. Step 6: Final answer
    x = 372,105.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.