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Finding the Fourth Proportional to 401,298.30, 602,051.85 and 116,982.42

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Solution

The fourth proportional to 401,298.30, 602,051.85 and 116,982.42 is: 175,504.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,298.30 : 602,051.85 = 116,982.42 : x
  2. Step 2: Convert to fraction form
    401,298.30/602,051.85 = 116,982.42/x
  3. Step 3: Cross multiply
    401,298.30x = 602,051.85 × 116,982.42
  4. Step 4: Simplify right side
    401,298.30x = 70,429,482,378.48
  5. Step 5: Solve for x
    x = 70,429,482,378.48/401,298.30
  6. Step 6: Final answer
    x = 175,504.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.