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Finding the Fourth Proportional to 472,420.95, 708,634.01 and 117,434.98

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Solution

The fourth proportional to 472,420.95, 708,634.01 and 117,434.98 is: 176,153.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,420.95 : 708,634.01 = 117,434.98 : x
  2. Step 2: Convert to fraction form
    472,420.95/708,634.01 = 117,434.98/x
  3. Step 3: Cross multiply
    472,420.95x = 708,634.01 × 117,434.98
  4. Step 4: Simplify right side
    472,420.95x = 83,218,420,791.67
  5. Step 5: Solve for x
    x = 83,218,420,791.67/472,420.95
  6. Step 6: Final answer
    x = 176,153.11

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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.