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Finding the Fourth Proportional to 314,152.52, 467,675.42 and 312,284.15

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Solution

The fourth proportional to 314,152.52, 467,675.42 and 312,284.15 is: 464,894.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,152.52 : 467,675.42 = 312,284.15 : x
  2. Step 2: Convert to fraction form
    314,152.52/467,675.42 = 312,284.15/x
  3. Step 3: Cross multiply
    314,152.52x = 467,675.42 × 312,284.15
  4. Step 4: Simplify right side
    314,152.52x = 146,047,622,960.49
  5. Step 5: Solve for x
    x = 146,047,622,960.49/314,152.52
  6. Step 6: Final answer
    x = 464,894.01

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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.