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Finding the Fourth Proportional to 470,461.56, 705,585.96 and 217,603.32

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Solution

The fourth proportional to 470,461.56, 705,585.96 and 217,603.32 is: 326,355.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,461.56 : 705,585.96 = 217,603.32 : x
  2. Step 2: Convert to fraction form
    470,461.56/705,585.96 = 217,603.32/x
  3. Step 3: Cross multiply
    470,461.56x = 705,585.96 × 217,603.32
  4. Step 4: Simplify right side
    470,461.56x = 153,537,847,441.39
  5. Step 5: Solve for x
    x = 153,537,847,441.39/470,461.56
  6. Step 6: Final answer
    x = 326,355.78

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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.