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Finding the Fourth Proportional to 707,214.29, 975,976.54 and 500,851.88

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Solution

The fourth proportional to 707,214.29, 975,976.54 and 500,851.88 is: 691,190.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    707,214.29 : 975,976.54 = 500,851.88 : x
  2. Step 2: Convert to fraction form
    707,214.29/975,976.54 = 500,851.88/x
  3. Step 3: Cross multiply
    707,214.29x = 975,976.54 × 500,851.88
  4. Step 4: Simplify right side
    707,214.29x = 488,819,680,015.01
  5. Step 5: Solve for x
    x = 488,819,680,015.01/707,214.29
  6. Step 6: Final answer
    x = 691,190.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.