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Finding the Fourth Proportional to 462,842.64, 694,014.33 and 209,985.15

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Solution

The fourth proportional to 462,842.64, 694,014.33 and 209,985.15 is: 314,864.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,842.64 : 694,014.33 = 209,985.15 : x
  2. Step 2: Convert to fraction form
    462,842.64/694,014.33 = 209,985.15/x
  3. Step 3: Cross multiply
    462,842.64x = 694,014.33 × 209,985.15
  4. Step 4: Simplify right side
    462,842.64x = 145,732,705,002.31
  5. Step 5: Solve for x
    x = 145,732,705,002.31/462,842.64
  6. Step 6: Final answer
    x = 314,864.48

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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.