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Finding the Fourth Proportional to 470,260.10, 704,353.35 and 408,052.10

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Solution

The fourth proportional to 470,260.10, 704,353.35 and 408,052.10 is: 611,178.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,260.10 : 704,353.35 = 408,052.10 : x
  2. Step 2: Convert to fraction form
    470,260.10/704,353.35 = 408,052.10/x
  3. Step 3: Cross multiply
    470,260.10x = 704,353.35 × 408,052.10
  4. Step 4: Simplify right side
    470,260.10x = 287,412,863,609.54
  5. Step 5: Solve for x
    x = 287,412,863,609.54/470,260.10
  6. Step 6: Final answer
    x = 611,178.50

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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.