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Finding the Fourth Proportional to 314,123.04, 471,184.56 and 147,924

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Solution

The fourth proportional to 314,123.04, 471,184.56 and 147,924 is: 221,886.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,123.04 : 471,184.56 = 147,924 : x
  2. Step 2: Convert to fraction form
    314,123.04/471,184.56 = 147,924/x
  3. Step 3: Cross multiply
    314,123.04x = 471,184.56 × 147,924
  4. Step 4: Simplify right side
    314,123.04x = 69,699,504,853.44
  5. Step 5: Solve for x
    x = 69,699,504,853.44/314,123.04
  6. Step 6: Final answer
    x = 221,886.00

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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.