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Finding the Fourth Proportional to 423,206.76, 584,023.73 and 232,223.34

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Solution

The fourth proportional to 423,206.76, 584,023.73 and 232,223.34 is: 320,467.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,206.76 : 584,023.73 = 232,223.34 : x
  2. Step 2: Convert to fraction form
    423,206.76/584,023.73 = 232,223.34/x
  3. Step 3: Cross multiply
    423,206.76x = 584,023.73 × 232,223.34
  4. Step 4: Simplify right side
    423,206.76x = 135,623,940,058.74
  5. Step 5: Solve for x
    x = 135,623,940,058.74/423,206.76
  6. Step 6: Final answer
    x = 320,467.33

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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.