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Finding the Fourth Proportional to 314,867.87, 472,368.90 and 101,647.90

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Solution

The fourth proportional to 314,867.87, 472,368.90 and 101,647.90 is: 152,493.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,867.87 : 472,368.90 = 101,647.90 : x
  2. Step 2: Convert to fraction form
    314,867.87/472,368.90 = 101,647.90/x
  3. Step 3: Cross multiply
    314,867.87x = 472,368.90 × 101,647.90
  4. Step 4: Simplify right side
    314,867.87x = 48,015,306,710.31
  5. Step 5: Solve for x
    x = 48,015,306,710.31/314,867.87
  6. Step 6: Final answer
    x = 152,493.51

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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.