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Finding the Fourth Proportional to 470,464.34, 705,740.22 and 133,513.26

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Solution

The fourth proportional to 470,464.34, 705,740.22 and 133,513.26 is: 200,282.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,464.34 : 705,740.22 = 133,513.26 : x
  2. Step 2: Convert to fraction form
    470,464.34/705,740.22 = 133,513.26/x
  3. Step 3: Cross multiply
    470,464.34x = 705,740.22 × 133,513.26
  4. Step 4: Simplify right side
    470,464.34x = 94,225,677,485.32
  5. Step 5: Solve for x
    x = 94,225,677,485.32/470,464.34
  6. Step 6: Final answer
    x = 200,282.29

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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.