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Finding the Fourth Proportional to 314,978.70, 472,468.05 and 314,978.70

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Solution

The fourth proportional to 314,978.70, 472,468.05 and 314,978.70 is: 472,468.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,978.70 : 472,468.05 = 314,978.70 : x
  2. Step 2: Convert to fraction form
    314,978.70/472,468.05 = 314,978.70/x
  3. Step 3: Cross multiply
    314,978.70x = 472,468.05 × 314,978.70
  4. Step 4: Simplify right side
    314,978.70x = 148,817,372,180.54
  5. Step 5: Solve for x
    x = 148,817,372,180.54/314,978.70
  6. Step 6: Final answer
    x = 472,468.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.