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Finding the Fourth Proportional to 701,763.50, 968,374.77 and 415,233.38

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Solution

The fourth proportional to 701,763.50, 968,374.77 and 415,233.38 is: 572,987.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    701,763.50 : 968,374.77 = 415,233.38 : x
  2. Step 2: Convert to fraction form
    701,763.50/968,374.77 = 415,233.38/x
  3. Step 3: Cross multiply
    701,763.50x = 968,374.77 × 415,233.38
  4. Step 4: Simplify right side
    701,763.50x = 402,101,528,853.82
  5. Step 5: Solve for x
    x = 402,101,528,853.82/701,763.50
  6. Step 6: Final answer
    x = 572,987.24

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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.