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Finding the Fourth Proportional to 333,697, 500,541.48 and 134,013.80

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Solution

The fourth proportional to 333,697, 500,541.48 and 134,013.80 is: 201,019.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,697 : 500,541.48 = 134,013.80 : x
  2. Step 2: Convert to fraction form
    333,697/500,541.48 = 134,013.80/x
  3. Step 3: Cross multiply
    333,697x = 500,541.48 × 134,013.80
  4. Step 4: Simplify right side
    333,697x = 67,079,465,792.42
  5. Step 5: Solve for x
    x = 67,079,465,792.42/333,697
  6. Step 6: Final answer
    x = 201,019.09

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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.