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Finding the Fourth Proportional to 434,769.40, 652,154.10 and 434,769.40

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Solution

The fourth proportional to 434,769.40, 652,154.10 and 434,769.40 is: 652,154.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,769.40 : 652,154.10 = 434,769.40 : x
  2. Step 2: Convert to fraction form
    434,769.40/652,154.10 = 434,769.40/x
  3. Step 3: Cross multiply
    434,769.40x = 652,154.10 × 434,769.40
  4. Step 4: Simplify right side
    434,769.40x = 283,536,646,764.54
  5. Step 5: Solve for x
    x = 283,536,646,764.54/434,769.40
  6. Step 6: Final answer
    x = 652,154.10

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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.