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Finding the Fourth Proportional to 286,297.40, 429,446.10 and 180,009.20

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Solution

The fourth proportional to 286,297.40, 429,446.10 and 180,009.20 is: 270,013.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,297.40 : 429,446.10 = 180,009.20 : x
  2. Step 2: Convert to fraction form
    286,297.40/429,446.10 = 180,009.20/x
  3. Step 3: Cross multiply
    286,297.40x = 429,446.10 × 180,009.20
  4. Step 4: Simplify right side
    286,297.40x = 77,304,248,904.12
  5. Step 5: Solve for x
    x = 77,304,248,904.12/286,297.40
  6. Step 6: Final answer
    x = 270,013.80

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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.