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Finding the Fourth Proportional to 663,024.80, 994,537.20 and 477,783.20

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Solution

The fourth proportional to 663,024.80, 994,537.20 and 477,783.20 is: 716,674.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    663,024.80 : 994,537.20 = 477,783.20 : x
  2. Step 2: Convert to fraction form
    663,024.80/994,537.20 = 477,783.20/x
  3. Step 3: Cross multiply
    663,024.80x = 994,537.20 × 477,783.20
  4. Step 4: Simplify right side
    663,024.80x = 475,173,165,935.04
  5. Step 5: Solve for x
    x = 475,173,165,935.04/663,024.80
  6. Step 6: Final answer
    x = 716,674.80

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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.