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Finding the Fourth Proportional to 315,266.13, 472,894.18 and 146,692.17

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Solution

The fourth proportional to 315,266.13, 472,894.18 and 146,692.17 is: 220,035.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,266.13 : 472,894.18 = 146,692.17 : x
  2. Step 2: Convert to fraction form
    315,266.13/472,894.18 = 146,692.17/x
  3. Step 3: Cross multiply
    315,266.13x = 472,894.18 × 146,692.17
  4. Step 4: Simplify right side
    315,266.13x = 69,369,871,304.49
  5. Step 5: Solve for x
    x = 69,369,871,304.49/315,266.13
  6. Step 6: Final answer
    x = 220,035.92

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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.