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Finding the Fourth Proportional to 309,626.40, 463,748.40 and 239,277.60

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Solution

The fourth proportional to 309,626.40, 463,748.40 and 239,277.60 is: 358,382.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,626.40 : 463,748.40 = 239,277.60 : x
  2. Step 2: Convert to fraction form
    309,626.40/463,748.40 = 239,277.60/x
  3. Step 3: Cross multiply
    309,626.40x = 463,748.40 × 239,277.60
  4. Step 4: Simplify right side
    309,626.40x = 110,964,604,155.84
  5. Step 5: Solve for x
    x = 110,964,604,155.84/309,626.40
  6. Step 6: Final answer
    x = 358,382.24

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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.