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Finding the Fourth Proportional to 577,986.40, 866,864.40 and 278,466.40

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Solution

The fourth proportional to 577,986.40, 866,864.40 and 278,466.40 is: 417,644.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,986.40 : 866,864.40 = 278,466.40 : x
  2. Step 2: Convert to fraction form
    577,986.40/866,864.40 = 278,466.40/x
  3. Step 3: Cross multiply
    577,986.40x = 866,864.40 × 278,466.40
  4. Step 4: Simplify right side
    577,986.40x = 241,392,608,756.16
  5. Step 5: Solve for x
    x = 241,392,608,756.16/577,986.40
  6. Step 6: Final answer
    x = 417,644.10

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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.