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Finding the Fourth Proportional to 470,560.20, 705,062.70 and 400,576.20

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Solution

The fourth proportional to 470,560.20, 705,062.70 and 400,576.20 is: 600,202.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,560.20 : 705,062.70 = 400,576.20 : x
  2. Step 2: Convert to fraction form
    470,560.20/705,062.70 = 400,576.20/x
  3. Step 3: Cross multiply
    470,560.20x = 705,062.70 × 400,576.20
  4. Step 4: Simplify right side
    470,560.20x = 282,431,337,127.74
  5. Step 5: Solve for x
    x = 282,431,337,127.74/470,560.20
  6. Step 6: Final answer
    x = 600,202.35

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1.5x scale

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.