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Finding the Fourth Proportional to 235,411.65, 353,117.48 and 209,606.85

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Solution

The fourth proportional to 235,411.65, 353,117.48 and 209,606.85 is: 314,410.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,411.65 : 353,117.48 = 209,606.85 : x
  2. Step 2: Convert to fraction form
    235,411.65/353,117.48 = 209,606.85/x
  3. Step 3: Cross multiply
    235,411.65x = 353,117.48 × 209,606.85
  4. Step 4: Simplify right side
    235,411.65x = 74,015,841,614.70
  5. Step 5: Solve for x
    x = 74,015,841,614.70/235,411.65
  6. Step 6: Final answer
    x = 314,410.28

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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.