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Finding the Fourth Proportional to 4,648,140.48, 6,972,612.42 and 1,282,347.48

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Solution

The fourth proportional to 4,648,140.48, 6,972,612.42 and 1,282,347.48 is: 1,923,632.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,648,140.48 : 6,972,612.42 = 1,282,347.48 : x
  2. Step 2: Convert to fraction form
    4,648,140.48/6,972,612.42 = 1,282,347.48/x
  3. Step 3: Cross multiply
    4,648,140.48x = 6,972,612.42 × 1,282,347.48
  4. Step 4: Simplify right side
    4,648,140.48x = 8,941,311,965,803.70
  5. Step 5: Solve for x
    x = 8,941,311,965,803.70/4,648,140.48
  6. Step 6: Final answer
    x = 1,923,632.04

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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.