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Finding the Fourth Proportional to 406,315.20, 560,437.47 and 278,769.36

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Solution

The fourth proportional to 406,315.20, 560,437.47 and 278,769.36 is: 384,511.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,315.20 : 560,437.47 = 278,769.36 : x
  2. Step 2: Convert to fraction form
    406,315.20/560,437.47 = 278,769.36/x
  3. Step 3: Cross multiply
    406,315.20x = 560,437.47 × 278,769.36
  4. Step 4: Simplify right side
    406,315.20x = 156,232,794,831.92
  5. Step 5: Solve for x
    x = 156,232,794,831.92/406,315.20
  6. Step 6: Final answer
    x = 384,511.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.