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Finding the Fourth Proportional to 473,233.36, 709,641.24 and 177,538

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Solution

The fourth proportional to 473,233.36, 709,641.24 and 177,538 is: 266,228.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,233.36 : 709,641.24 = 177,538 : x
  2. Step 2: Convert to fraction form
    473,233.36/709,641.24 = 177,538/x
  3. Step 3: Cross multiply
    473,233.36x = 709,641.24 × 177,538
  4. Step 4: Simplify right side
    473,233.36x = 125,988,286,467.12
  5. Step 5: Solve for x
    x = 125,988,286,467.12/473,233.36
  6. Step 6: Final answer
    x = 266,228.67

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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.