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Finding the Fourth Proportional to 312,870.60, 469,305.90 and 102,529.80

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Solution

The fourth proportional to 312,870.60, 469,305.90 and 102,529.80 is: 153,794.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,870.60 : 469,305.90 = 102,529.80 : x
  2. Step 2: Convert to fraction form
    312,870.60/469,305.90 = 102,529.80/x
  3. Step 3: Cross multiply
    312,870.60x = 469,305.90 × 102,529.80
  4. Step 4: Simplify right side
    312,870.60x = 48,117,840,065.82
  5. Step 5: Solve for x
    x = 48,117,840,065.82/312,870.60
  6. Step 6: Final answer
    x = 153,794.70

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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.