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Finding the Fourth Proportional to 423,780, 584,816.40 and 232,796.58

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Solution

The fourth proportional to 423,780, 584,816.40 and 232,796.58 is: 321,259.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,780 : 584,816.40 = 232,796.58 : x
  2. Step 2: Convert to fraction form
    423,780/584,816.40 = 232,796.58/x
  3. Step 3: Cross multiply
    423,780x = 584,816.40 × 232,796.58
  4. Step 4: Simplify right side
    423,780x = 136,143,257,847.91
  5. Step 5: Solve for x
    x = 136,143,257,847.91/423,780
  6. Step 6: Final answer
    x = 321,259.28

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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.