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Finding the Fourth Proportional to 470,203.57, 648,921.14 and 266,290.57

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Solution

The fourth proportional to 470,203.57, 648,921.14 and 266,290.57 is: 367,503.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,203.57 : 648,921.14 = 266,290.57 : x
  2. Step 2: Convert to fraction form
    470,203.57/648,921.14 = 266,290.57/x
  3. Step 3: Cross multiply
    470,203.57x = 648,921.14 × 266,290.57
  4. Step 4: Simplify right side
    470,203.57x = 172,801,580,255.65
  5. Step 5: Solve for x
    x = 172,801,580,255.65/470,203.57
  6. Step 6: Final answer
    x = 367,503.76

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.