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Finding the Fourth Proportional to 506,267.65, 759,402.21 and 206,748.23

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Solution

The fourth proportional to 506,267.65, 759,402.21 and 206,748.23 is: 310,122.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,267.65 : 759,402.21 = 206,748.23 : x
  2. Step 2: Convert to fraction form
    506,267.65/759,402.21 = 206,748.23/x
  3. Step 3: Cross multiply
    506,267.65x = 759,402.21 × 206,748.23
  4. Step 4: Simplify right side
    506,267.65x = 157,005,057,944.84
  5. Step 5: Solve for x
    x = 157,005,057,944.84/506,267.65
  6. Step 6: Final answer
    x = 310,122.64

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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.