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Finding the Fourth Proportional to 340,544.70, 510,926.40 and 150,931.80

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Solution

The fourth proportional to 340,544.70, 510,926.40 and 150,931.80 is: 226,446.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,544.70 : 510,926.40 = 150,931.80 : x
  2. Step 2: Convert to fraction form
    340,544.70/510,926.40 = 150,931.80/x
  3. Step 3: Cross multiply
    340,544.70x = 510,926.40 × 150,931.80
  4. Step 4: Simplify right side
    340,544.70x = 77,115,041,219.52
  5. Step 5: Solve for x
    x = 77,115,041,219.52/340,544.70
  6. Step 6: Final answer
    x = 226,446.16

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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.