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Finding the Fourth Proportional to 302,282.40, 453,772.80 and 162,314.40

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Solution

The fourth proportional to 302,282.40, 453,772.80 and 162,314.40 is: 243,659.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,282.40 : 453,772.80 = 162,314.40 : x
  2. Step 2: Convert to fraction form
    302,282.40/453,772.80 = 162,314.40/x
  3. Step 3: Cross multiply
    302,282.40x = 453,772.80 × 162,314.40
  4. Step 4: Simplify right side
    302,282.40x = 73,653,859,768.32
  5. Step 5: Solve for x
    x = 73,653,859,768.32/302,282.40
  6. Step 6: Final answer
    x = 243,659.11

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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.