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Finding the Fourth Proportional to 314,149.77, 467,671.53 and 312,281.43

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Solution

The fourth proportional to 314,149.77, 467,671.53 and 312,281.43 is: 464,890.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,149.77 : 467,671.53 = 312,281.43 : x
  2. Step 2: Convert to fraction form
    314,149.77/467,671.53 = 312,281.43/x
  3. Step 3: Cross multiply
    314,149.77x = 467,671.53 × 312,281.43
  4. Step 4: Simplify right side
    314,149.77x = 146,045,134,158.69
  5. Step 5: Solve for x
    x = 146,045,134,158.69/314,149.77
  6. Step 6: Final answer
    x = 464,890.15

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Why These Related Problems?

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