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Finding the Fourth Proportional to 229,207.60, 343,811.40 and 209,508.40

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Solution

The fourth proportional to 229,207.60, 343,811.40 and 209,508.40 is: 314,262.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,207.60 : 343,811.40 = 209,508.40 : x
  2. Step 2: Convert to fraction form
    229,207.60/343,811.40 = 209,508.40/x
  3. Step 3: Cross multiply
    229,207.60x = 343,811.40 × 209,508.40
  4. Step 4: Simplify right side
    229,207.60x = 72,031,376,315.76
  5. Step 5: Solve for x
    x = 72,031,376,315.76/229,207.60
  6. Step 6: Final answer
    x = 314,262.60

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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.