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Finding the Fourth Proportional to 680,530.80, 1,020,796.20 and 477,577.20

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Solution

The fourth proportional to 680,530.80, 1,020,796.20 and 477,577.20 is: 716,365.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,530.80 : 1,020,796.20 = 477,577.20 : x
  2. Step 2: Convert to fraction form
    680,530.80/1,020,796.20 = 477,577.20/x
  3. Step 3: Cross multiply
    680,530.80x = 1,020,796.20 × 477,577.20
  4. Step 4: Simplify right side
    680,530.80x = 487,508,990,966.64
  5. Step 5: Solve for x
    x = 487,508,990,966.64/680,530.80
  6. Step 6: Final answer
    x = 716,365.80

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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.