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Finding the Fourth Proportional to 470,216.10, 705,324.15 and 402,564.90

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Solution

The fourth proportional to 470,216.10, 705,324.15 and 402,564.90 is: 603,847.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,216.10 : 705,324.15 = 402,564.90 : x
  2. Step 2: Convert to fraction form
    470,216.10/705,324.15 = 402,564.90/x
  3. Step 3: Cross multiply
    470,216.10x = 705,324.15 × 402,564.90
  4. Step 4: Simplify right side
    470,216.10x = 283,938,745,912.34
  5. Step 5: Solve for x
    x = 283,938,745,912.34/470,216.10
  6. Step 6: Final answer
    x = 603,847.35

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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.