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Finding the Fourth Proportional to 508,296.84, 701,533.80 and 282,015.24

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Solution

The fourth proportional to 508,296.84, 701,533.80 and 282,015.24 is: 389,227.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,296.84 : 701,533.80 = 282,015.24 : x
  2. Step 2: Convert to fraction form
    508,296.84/701,533.80 = 282,015.24/x
  3. Step 3: Cross multiply
    508,296.84x = 701,533.80 × 282,015.24
  4. Step 4: Simplify right side
    508,296.84x = 197,843,222,975.11
  5. Step 5: Solve for x
    x = 197,843,222,975.11/508,296.84
  6. Step 6: Final answer
    x = 389,227.73

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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.