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Finding the Fourth Proportional to 423,695.83, 584,698.24 and 230,102.19

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Solution

The fourth proportional to 423,695.83, 584,698.24 and 230,102.19 is: 317,539.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,695.83 : 584,698.24 = 230,102.19 : x
  2. Step 2: Convert to fraction form
    423,695.83/584,698.24 = 230,102.19/x
  3. Step 3: Cross multiply
    423,695.83x = 584,698.24 × 230,102.19
  4. Step 4: Simplify right side
    423,695.83x = 134,540,345,513.15
  5. Step 5: Solve for x
    x = 134,540,345,513.15/423,695.83
  6. Step 6: Final answer
    x = 317,539.93

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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.