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Finding the Fourth Proportional to 472,516.88, 708,708.95 and 135,586.25

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Solution

The fourth proportional to 472,516.88, 708,708.95 and 135,586.25 is: 203,360.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,516.88 : 708,708.95 = 135,586.25 : x
  2. Step 2: Convert to fraction form
    472,516.88/708,708.95 = 135,586.25/x
  3. Step 3: Cross multiply
    472,516.88x = 708,708.95 × 135,586.25
  4. Step 4: Simplify right side
    472,516.88x = 96,091,185,667.36
  5. Step 5: Solve for x
    x = 96,091,185,667.36/472,516.88
  6. Step 6: Final answer
    x = 203,360.32

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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.