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Finding the Fourth Proportional to 314,868.87, 472,370.40 and 101,648.90

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Solution

The fourth proportional to 314,868.87, 472,370.40 and 101,648.90 is: 152,495.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,868.87 : 472,370.40 = 101,648.90 : x
  2. Step 2: Convert to fraction form
    314,868.87/472,370.40 = 101,648.90/x
  3. Step 3: Cross multiply
    314,868.87x = 472,370.40 × 101,648.90
  4. Step 4: Simplify right side
    314,868.87x = 48,015,931,552.56
  5. Step 5: Solve for x
    x = 48,015,931,552.56/314,868.87
  6. Step 6: Final answer
    x = 152,495.01

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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.