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Finding the Fourth Proportional to 472,533.76, 708,920.40 and 156,992.32

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Solution

The fourth proportional to 472,533.76, 708,920.40 and 156,992.32 is: 235,528.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,533.76 : 708,920.40 = 156,992.32 : x
  2. Step 2: Convert to fraction form
    472,533.76/708,920.40 = 156,992.32/x
  3. Step 3: Cross multiply
    472,533.76x = 708,920.40 × 156,992.32
  4. Step 4: Simplify right side
    472,533.76x = 111,295,058,291.33
  5. Step 5: Solve for x
    x = 111,295,058,291.33/472,533.76
  6. Step 6: Final answer
    x = 235,528.27

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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.