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Finding the Fourth Proportional to 313,923.34, 467,927.75 and 288,729.10

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Solution

The fourth proportional to 313,923.34, 467,927.75 and 288,729.10 is: 430,373.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,923.34 : 467,927.75 = 288,729.10 : x
  2. Step 2: Convert to fraction form
    313,923.34/467,927.75 = 288,729.10/x
  3. Step 3: Cross multiply
    313,923.34x = 467,927.75 × 288,729.10
  4. Step 4: Simplify right side
    313,923.34x = 135,104,358,122.53
  5. Step 5: Solve for x
    x = 135,104,358,122.53/313,923.34
  6. Step 6: Final answer
    x = 430,373.73

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.