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Finding the Fourth Proportional to 314,148.14, 467,669.12 and 312,279.81

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Solution

The fourth proportional to 314,148.14, 467,669.12 and 312,279.81 is: 464,887.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,148.14 : 467,669.12 = 312,279.81 : x
  2. Step 2: Convert to fraction form
    314,148.14/467,669.12 = 312,279.81/x
  3. Step 3: Cross multiply
    314,148.14x = 467,669.12 × 312,279.81
  4. Step 4: Simplify right side
    314,148.14x = 146,043,623,936.47
  5. Step 5: Solve for x
    x = 146,043,623,936.47/314,148.14
  6. Step 6: Final answer
    x = 464,887.76

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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.