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Finding the Fourth Proportional to 242,564.40, 340,290 and 242,564.40

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Solution

The fourth proportional to 242,564.40, 340,290 and 242,564.40 is: 340,290

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,564.40 : 340,290 = 242,564.40 : x
  2. Step 2: Convert to fraction form
    242,564.40/340,290 = 242,564.40/x
  3. Step 3: Cross multiply
    242,564.40x = 340,290 × 242,564.40
  4. Step 4: Simplify right side
    242,564.40x = 82,542,239,676
  5. Step 5: Solve for x
    x = 82,542,239,676/242,564.40
  6. Step 6: Final answer
    x = 340,290

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.