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Finding the Fourth Proportional to 314,304.84, 471,583.50 and 143,607.45

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Solution

The fourth proportional to 314,304.84, 471,583.50 and 143,607.45 is: 215,468.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,304.84 : 471,583.50 = 143,607.45 : x
  2. Step 2: Convert to fraction form
    314,304.84/471,583.50 = 143,607.45/x
  3. Step 3: Cross multiply
    314,304.84x = 471,583.50 × 143,607.45
  4. Step 4: Simplify right side
    314,304.84x = 67,722,903,897.08
  5. Step 5: Solve for x
    x = 67,722,903,897.08/314,304.84
  6. Step 6: Final answer
    x = 215,468.85

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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.