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Finding the Fourth Proportional to 233,465.40, 350,198.10 and 233,465.40

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Solution

The fourth proportional to 233,465.40, 350,198.10 and 233,465.40 is: 350,198.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,465.40 : 350,198.10 = 233,465.40 : x
  2. Step 2: Convert to fraction form
    233,465.40/350,198.10 = 233,465.40/x
  3. Step 3: Cross multiply
    233,465.40x = 350,198.10 × 233,465.40
  4. Step 4: Simplify right side
    233,465.40x = 81,759,139,495.74
  5. Step 5: Solve for x
    x = 81,759,139,495.74/233,465.40
  6. Step 6: Final answer
    x = 350,198.10

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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.