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Finding the Fourth Proportional to 560,582.16, 840,921.80 and 161,255.40

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Solution

The fourth proportional to 560,582.16, 840,921.80 and 161,255.40 is: 241,897.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,582.16 : 840,921.80 = 161,255.40 : x
  2. Step 2: Convert to fraction form
    560,582.16/840,921.80 = 161,255.40/x
  3. Step 3: Cross multiply
    560,582.16x = 840,921.80 × 161,255.40
  4. Step 4: Simplify right side
    560,582.16x = 135,603,181,227.72
  5. Step 5: Solve for x
    x = 135,603,181,227.72/560,582.16
  6. Step 6: Final answer
    x = 241,897.07

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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.