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Finding the Fourth Proportional to 310,023.08, 465,078.36 and 99,590.48

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Solution

The fourth proportional to 310,023.08, 465,078.36 and 99,590.48 is: 149,399.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,023.08 : 465,078.36 = 99,590.48 : x
  2. Step 2: Convert to fraction form
    310,023.08/465,078.36 = 99,590.48/x
  3. Step 3: Cross multiply
    310,023.08x = 465,078.36 × 99,590.48
  4. Step 4: Simplify right side
    310,023.08x = 46,317,377,110.01
  5. Step 5: Solve for x
    x = 46,317,377,110.01/310,023.08
  6. Step 6: Final answer
    x = 149,399.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.