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Finding the Fourth Proportional to 472,480.85, 708,724.10 and 117,494.87

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Solution

The fourth proportional to 472,480.85, 708,724.10 and 117,494.87 is: 176,243.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,480.85 : 708,724.10 = 117,494.87 : x
  2. Step 2: Convert to fraction form
    472,480.85/708,724.10 = 117,494.87/x
  3. Step 3: Cross multiply
    472,480.85x = 708,724.10 × 117,494.87
  4. Step 4: Simplify right side
    472,480.85x = 83,271,445,995.37
  5. Step 5: Solve for x
    x = 83,271,445,995.37/472,480.85
  6. Step 6: Final answer
    x = 176,243.01

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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.