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Finding the Fourth Proportional to 472,706.78, 708,468.86 and 236,115.50

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Solution

The fourth proportional to 472,706.78, 708,468.86 and 236,115.50 is: 353,877.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,706.78 : 708,468.86 = 236,115.50 : x
  2. Step 2: Convert to fraction form
    472,706.78/708,468.86 = 236,115.50/x
  3. Step 3: Cross multiply
    472,706.78x = 708,468.86 × 236,115.50
  4. Step 4: Simplify right side
    472,706.78x = 167,280,476,161.27
  5. Step 5: Solve for x
    x = 167,280,476,161.27/472,706.78
  6. Step 6: Final answer
    x = 353,877.89

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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.