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Finding the Fourth Proportional to 617,970.80, 927,647.40 and 577,362.80

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Solution

The fourth proportional to 617,970.80, 927,647.40 and 577,362.80 is: 866,689.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,970.80 : 927,647.40 = 577,362.80 : x
  2. Step 2: Convert to fraction form
    617,970.80/927,647.40 = 577,362.80/x
  3. Step 3: Cross multiply
    617,970.80x = 927,647.40 × 577,362.80
  4. Step 4: Simplify right side
    617,970.80x = 535,589,100,276.72
  5. Step 5: Solve for x
    x = 535,589,100,276.72/617,970.80
  6. Step 6: Final answer
    x = 866,689.98

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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.