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Finding the Fourth Proportional to 314,130.25, 467,642.49 and 312,261.92

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Solution

The fourth proportional to 314,130.25, 467,642.49 and 312,261.92 is: 464,861.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,130.25 : 467,642.49 = 312,261.92 : x
  2. Step 2: Convert to fraction form
    314,130.25/467,642.49 = 312,261.92/x
  3. Step 3: Cross multiply
    314,130.25x = 467,642.49 × 312,261.92
  4. Step 4: Simplify right side
    314,130.25x = 146,026,940,045.45
  5. Step 5: Solve for x
    x = 146,026,940,045.45/314,130.25
  6. Step 6: Final answer
    x = 464,861.12

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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.