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Finding the Fourth Proportional to 472,068.38, 708,203.48 and 152,238.46

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Solution

The fourth proportional to 472,068.38, 708,203.48 and 152,238.46 is: 228,390.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,068.38 : 708,203.48 = 152,238.46 : x
  2. Step 2: Convert to fraction form
    472,068.38/708,203.48 = 152,238.46/x
  3. Step 3: Cross multiply
    472,068.38x = 708,203.48 × 152,238.46
  4. Step 4: Simplify right side
    472,068.38x = 107,815,807,161.84
  5. Step 5: Solve for x
    x = 107,815,807,161.84/472,068.38
  6. Step 6: Final answer
    x = 228,390.23

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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.