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Finding the Fourth Proportional to 314,184.12, 467,722.88 and 312,316.05

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Solution

The fourth proportional to 314,184.12, 467,722.88 and 312,316.05 is: 464,941.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,184.12 : 467,722.88 = 312,316.05 : x
  2. Step 2: Convert to fraction form
    314,184.12/467,722.88 = 312,316.05/x
  3. Step 3: Cross multiply
    314,184.12x = 467,722.88 × 312,316.05
  4. Step 4: Simplify right side
    314,184.12x = 146,077,362,376.22
  5. Step 5: Solve for x
    x = 146,077,362,376.22/314,184.12
  6. Step 6: Final answer
    x = 464,941.90

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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.