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Finding the Fourth Proportional to 515,423.09, 711,322.83 and 286,023.80

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Solution

The fourth proportional to 515,423.09, 711,322.83 and 286,023.80 is: 394,734.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,423.09 : 711,322.83 = 286,023.80 : x
  2. Step 2: Convert to fraction form
    515,423.09/711,322.83 = 286,023.80/x
  3. Step 3: Cross multiply
    515,423.09x = 711,322.83 × 286,023.80
  4. Step 4: Simplify right side
    515,423.09x = 203,455,260,641.66
  5. Step 5: Solve for x
    x = 203,455,260,641.66/515,423.09
  6. Step 6: Final answer
    x = 394,734.47

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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.