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Finding the Fourth Proportional to 505,058.90, 696,019.64 and 361,569.83

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Solution

The fourth proportional to 505,058.90, 696,019.64 and 361,569.83 is: 498,277.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,058.90 : 696,019.64 = 361,569.83 : x
  2. Step 2: Convert to fraction form
    505,058.90/696,019.64 = 361,569.83/x
  3. Step 3: Cross multiply
    505,058.90x = 696,019.64 × 361,569.83
  4. Step 4: Simplify right side
    505,058.90x = 251,659,697,623.51
  5. Step 5: Solve for x
    x = 251,659,697,623.51/505,058.90
  6. Step 6: Final answer
    x = 498,277.92

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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.