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Finding the Fourth Proportional to 312,199.40, 468,298.41 and 241,225.16

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Solution

The fourth proportional to 312,199.40, 468,298.41 and 241,225.16 is: 361,837.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,199.40 : 468,298.41 = 241,225.16 : x
  2. Step 2: Convert to fraction form
    312,199.40/468,298.41 = 241,225.16/x
  3. Step 3: Cross multiply
    312,199.40x = 468,298.41 × 241,225.16
  4. Step 4: Simplify right side
    312,199.40x = 112,965,358,880.00
  5. Step 5: Solve for x
    x = 112,965,358,880.00/312,199.40
  6. Step 6: Final answer
    x = 361,837.21

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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.