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Finding the Fourth Proportional to 315,868.48, 473,989.38 and 116,329.12

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Solution

The fourth proportional to 315,868.48, 473,989.38 and 116,329.12 is: 174,562.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,868.48 : 473,989.38 = 116,329.12 : x
  2. Step 2: Convert to fraction form
    315,868.48/473,989.38 = 116,329.12/x
  3. Step 3: Cross multiply
    315,868.48x = 473,989.38 × 116,329.12
  4. Step 4: Simplify right side
    315,868.48x = 55,138,767,464.75
  5. Step 5: Solve for x
    x = 55,138,767,464.75/315,868.48
  6. Step 6: Final answer
    x = 174,562.42

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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.