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Finding the Fourth Proportional to 580,647.14, 870,970.37 and 181,322.13

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Solution

The fourth proportional to 580,647.14, 870,970.37 and 181,322.13 is: 271,983.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,647.14 : 870,970.37 = 181,322.13 : x
  2. Step 2: Convert to fraction form
    580,647.14/870,970.37 = 181,322.13/x
  3. Step 3: Cross multiply
    580,647.14x = 870,970.37 × 181,322.13
  4. Step 4: Simplify right side
    580,647.14x = 157,926,197,393.83
  5. Step 5: Solve for x
    x = 157,926,197,393.83/580,647.14
  6. Step 6: Final answer
    x = 271,983.08

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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.