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Finding the Fourth Proportional to 423,692.14, 584,693.16 and 230,098.50

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Solution

The fourth proportional to 423,692.14, 584,693.16 and 230,098.50 is: 317,534.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,692.14 : 584,693.16 = 230,098.50 : x
  2. Step 2: Convert to fraction form
    423,692.14/584,693.16 = 230,098.50/x
  3. Step 3: Cross multiply
    423,692.14x = 584,693.16 × 230,098.50
  4. Step 4: Simplify right side
    423,692.14x = 134,537,019,076.26
  5. Step 5: Solve for x
    x = 134,537,019,076.26/423,692.14
  6. Step 6: Final answer
    x = 317,534.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.