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Finding the Fourth Proportional to 472,441.85, 708,665.39 and 117,455.87

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Solution

The fourth proportional to 472,441.85, 708,665.39 and 117,455.87 is: 176,184.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,441.85 : 708,665.39 = 117,455.87 : x
  2. Step 2: Convert to fraction form
    472,441.85/708,665.39 = 117,455.87/x
  3. Step 3: Cross multiply
    472,441.85x = 708,665.39 × 117,455.87
  4. Step 4: Simplify right side
    472,441.85x = 83,236,909,921.34
  5. Step 5: Solve for x
    x = 83,236,909,921.34/472,441.85
  6. Step 6: Final answer
    x = 176,184.46

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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.