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Finding the Fourth Proportional to 314,131.38, 467,644.16 and 312,263.04

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Solution

The fourth proportional to 314,131.38, 467,644.16 and 312,263.04 is: 464,862.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,131.38 : 467,644.16 = 312,263.04 : x
  2. Step 2: Convert to fraction form
    314,131.38/467,644.16 = 312,263.04/x
  3. Step 3: Cross multiply
    314,131.38x = 467,644.16 × 312,263.04
  4. Step 4: Simplify right side
    314,131.38x = 146,027,989,574.17
  5. Step 5: Solve for x
    x = 146,027,989,574.17/314,131.38
  6. Step 6: Final answer
    x = 464,862.80

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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.