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Finding the Fourth Proportional to 472,671.60, 709,072.20 and 157,095.60

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Solution

The fourth proportional to 472,671.60, 709,072.20 and 157,095.60 is: 235,664.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,671.60 : 709,072.20 = 157,095.60 : x
  2. Step 2: Convert to fraction form
    472,671.60/709,072.20 = 157,095.60/x
  3. Step 3: Cross multiply
    472,671.60x = 709,072.20 × 157,095.60
  4. Step 4: Simplify right side
    472,671.60x = 111,392,122,702.32
  5. Step 5: Solve for x
    x = 111,392,122,702.32/472,671.60
  6. Step 6: Final answer
    x = 235,664.94

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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.