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Finding the Fourth Proportional to 577,964.80, 866,947.20 and 507,980.80

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Solution

The fourth proportional to 577,964.80, 866,947.20 and 507,980.80 is: 761,971.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,964.80 : 866,947.20 = 507,980.80 : x
  2. Step 2: Convert to fraction form
    577,964.80/866,947.20 = 507,980.80/x
  3. Step 3: Cross multiply
    577,964.80x = 866,947.20 × 507,980.80
  4. Step 4: Simplify right side
    577,964.80x = 440,392,532,213.76
  5. Step 5: Solve for x
    x = 440,392,532,213.76/577,964.80
  6. Step 6: Final answer
    x = 761,971.20

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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.