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Finding the Fourth Proportional to 472,610.86, 708,708.93 and 176,915.50

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Solution

The fourth proportional to 472,610.86, 708,708.93 and 176,915.50 is: 265,295.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,610.86 : 708,708.93 = 176,915.50 : x
  2. Step 2: Convert to fraction form
    472,610.86/708,708.93 = 176,915.50/x
  3. Step 3: Cross multiply
    472,610.86x = 708,708.93 × 176,915.50
  4. Step 4: Simplify right side
    472,610.86x = 125,381,594,705.42
  5. Step 5: Solve for x
    x = 125,381,594,705.42/472,610.86
  6. Step 6: Final answer
    x = 265,295.63

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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.