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Finding the Fourth Proportional to 506,708, 759,796.32 and 207,020.96

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Solution

The fourth proportional to 506,708, 759,796.32 and 207,020.96 is: 310,422.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,708 : 759,796.32 = 207,020.96 : x
  2. Step 2: Convert to fraction form
    506,708/759,796.32 = 207,020.96/x
  3. Step 3: Cross multiply
    506,708x = 759,796.32 × 207,020.96
  4. Step 4: Simplify right side
    506,708x = 157,293,763,570.87
  5. Step 5: Solve for x
    x = 157,293,763,570.87/506,708
  6. Step 6: Final answer
    x = 310,422.89

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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.