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Finding the Fourth Proportional to 580,661.76, 870,175.80 and 461,805.60

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Solution

The fourth proportional to 580,661.76, 870,175.80 and 461,805.60 is: 692,058.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,661.76 : 870,175.80 = 461,805.60 : x
  2. Step 2: Convert to fraction form
    580,661.76/870,175.80 = 461,805.60/x
  3. Step 3: Cross multiply
    580,661.76x = 870,175.80 × 461,805.60
  4. Step 4: Simplify right side
    580,661.76x = 401,852,057,424.48
  5. Step 5: Solve for x
    x = 401,852,057,424.48/580,661.76
  6. Step 6: Final answer
    x = 692,058.76

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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.