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Finding the Fourth Proportional to 423,717, 584,730 and 232,734.12

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Solution

The fourth proportional to 423,717, 584,730 and 232,734.12 is: 321,173.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,717 : 584,730 = 232,734.12 : x
  2. Step 2: Convert to fraction form
    423,717/584,730 = 232,734.12/x
  3. Step 3: Cross multiply
    423,717x = 584,730 × 232,734.12
  4. Step 4: Simplify right side
    423,717x = 136,086,621,987.60
  5. Step 5: Solve for x
    x = 136,086,621,987.60/423,717
  6. Step 6: Final answer
    x = 321,173.38

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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.