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Finding the Fourth Proportional to 423,746.26, 584,625 and 242,392.12

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Solution

The fourth proportional to 423,746.26, 584,625 and 242,392.12 is: 334,418.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,746.26 : 584,625 = 242,392.12 : x
  2. Step 2: Convert to fraction form
    423,746.26/584,625 = 242,392.12/x
  3. Step 3: Cross multiply
    423,746.26x = 584,625 × 242,392.12
  4. Step 4: Simplify right side
    423,746.26x = 141,708,493,155
  5. Step 5: Solve for x
    x = 141,708,493,155/423,746.26
  6. Step 6: Final answer
    x = 334,418.27

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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.