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Finding the Fourth Proportional to 386,729.80, 580,094.70 and 209,582.80

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Solution

The fourth proportional to 386,729.80, 580,094.70 and 209,582.80 is: 314,374.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,729.80 : 580,094.70 = 209,582.80 : x
  2. Step 2: Convert to fraction form
    386,729.80/580,094.70 = 209,582.80/x
  3. Step 3: Cross multiply
    386,729.80x = 580,094.70 × 209,582.80
  4. Step 4: Simplify right side
    386,729.80x = 121,577,871,491.16
  5. Step 5: Solve for x
    x = 121,577,871,491.16/386,729.80
  6. Step 6: Final answer
    x = 314,374.20

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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.