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Finding the Fourth Proportional to 302,250.40, 453,724.80 and 162,282.40

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Solution

The fourth proportional to 302,250.40, 453,724.80 and 162,282.40 is: 243,611.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,250.40 : 453,724.80 = 162,282.40 : x
  2. Step 2: Convert to fraction form
    302,250.40/453,724.80 = 162,282.40/x
  3. Step 3: Cross multiply
    302,250.40x = 453,724.80 × 162,282.40
  4. Step 4: Simplify right side
    302,250.40x = 73,631,549,483.52
  5. Step 5: Solve for x
    x = 73,631,549,483.52/302,250.40
  6. Step 6: Final answer
    x = 243,611.09

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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.