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Finding the Fourth Proportional to 473,768.46, 710,995.50 and 185,623.11

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Solution

The fourth proportional to 473,768.46, 710,995.50 and 185,623.11 is: 278,568.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,768.46 : 710,995.50 = 185,623.11 : x
  2. Step 2: Convert to fraction form
    473,768.46/710,995.50 = 185,623.11/x
  3. Step 3: Cross multiply
    473,768.46x = 710,995.50 × 185,623.11
  4. Step 4: Simplify right side
    473,768.46x = 131,977,195,906.01
  5. Step 5: Solve for x
    x = 131,977,195,906.01/473,768.46
  6. Step 6: Final answer
    x = 278,568.98

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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.