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Finding the Fourth Proportional to 566,074.26, 781,506.09 and 375,346.80

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Solution

The fourth proportional to 566,074.26, 781,506.09 and 375,346.80 is: 518,193.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,074.26 : 781,506.09 = 375,346.80 : x
  2. Step 2: Convert to fraction form
    566,074.26/781,506.09 = 375,346.80/x
  3. Step 3: Cross multiply
    566,074.26x = 781,506.09 × 375,346.80
  4. Step 4: Simplify right side
    566,074.26x = 293,335,810,062.01
  5. Step 5: Solve for x
    x = 293,335,810,062.01/566,074.26
  6. Step 6: Final answer
    x = 518,193.16

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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.