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Finding the Fourth Proportional to 516,763.86, 713,199.69 and 290,409.18

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Solution

The fourth proportional to 516,763.86, 713,199.69 and 290,409.18 is: 400,801.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,763.86 : 713,199.69 = 290,409.18 : x
  2. Step 2: Convert to fraction form
    516,763.86/713,199.69 = 290,409.18/x
  3. Step 3: Cross multiply
    516,763.86x = 713,199.69 × 290,409.18
  4. Step 4: Simplify right side
    516,763.86x = 207,119,737,149.15
  5. Step 5: Solve for x
    x = 207,119,737,149.15/516,763.86
  6. Step 6: Final answer
    x = 400,801.51

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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.