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Finding the Fourth Proportional to 472,338.41, 708,645.65 and 152,482.77

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Solution

The fourth proportional to 472,338.41, 708,645.65 and 152,482.77 is: 228,768.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,338.41 : 708,645.65 = 152,482.77 : x
  2. Step 2: Convert to fraction form
    472,338.41/708,645.65 = 152,482.77/x
  3. Step 3: Cross multiply
    472,338.41x = 708,645.65 × 152,482.77
  4. Step 4: Simplify right side
    472,338.41x = 108,056,250,898.04
  5. Step 5: Solve for x
    x = 108,056,250,898.04/472,338.41
  6. Step 6: Final answer
    x = 228,768.72

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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.