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Finding the Fourth Proportional to 680,548.80, 1,020,823.20 and 477,595.20

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Solution

The fourth proportional to 680,548.80, 1,020,823.20 and 477,595.20 is: 716,392.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,548.80 : 1,020,823.20 = 477,595.20 : x
  2. Step 2: Convert to fraction form
    680,548.80/1,020,823.20 = 477,595.20/x
  3. Step 3: Cross multiply
    680,548.80x = 1,020,823.20 × 477,595.20
  4. Step 4: Simplify right side
    680,548.80x = 487,540,260,368.64
  5. Step 5: Solve for x
    x = 487,540,260,368.64/680,548.80
  6. Step 6: Final answer
    x = 716,392.80

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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.