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Finding the Fourth Proportional to 473,899.44, 710,849.16 and 189,717.92

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Solution

The fourth proportional to 473,899.44, 710,849.16 and 189,717.92 is: 284,576.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,899.44 : 710,849.16 = 189,717.92 : x
  2. Step 2: Convert to fraction form
    473,899.44/710,849.16 = 189,717.92/x
  3. Step 3: Cross multiply
    473,899.44x = 710,849.16 × 189,717.92
  4. Step 4: Simplify right side
    473,899.44x = 134,860,824,068.95
  5. Step 5: Solve for x
    x = 134,860,824,068.95/473,899.44
  6. Step 6: Final answer
    x = 284,576.88

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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.