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Finding the Fourth Proportional to 506,133.68, 759,199.92 and 206,754.96

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Solution

The fourth proportional to 506,133.68, 759,199.92 and 206,754.96 is: 310,132.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,133.68 : 759,199.92 = 206,754.96 : x
  2. Step 2: Convert to fraction form
    506,133.68/759,199.92 = 206,754.96/x
  3. Step 3: Cross multiply
    506,133.68x = 759,199.92 × 206,754.96
  4. Step 4: Simplify right side
    506,133.68x = 156,968,349,091.60
  5. Step 5: Solve for x
    x = 156,968,349,091.60/506,133.68
  6. Step 6: Final answer
    x = 310,132.19

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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.