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Finding the Fourth Proportional to 302,465.75, 453,978.86 and 152,811.50

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Solution

The fourth proportional to 302,465.75, 453,978.86 and 152,811.50 is: 229,358.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,465.75 : 453,978.86 = 152,811.50 : x
  2. Step 2: Convert to fraction form
    302,465.75/453,978.86 = 152,811.50/x
  3. Step 3: Cross multiply
    302,465.75x = 453,978.86 × 152,811.50
  4. Step 4: Simplify right side
    302,465.75x = 69,373,190,935.78
  5. Step 5: Solve for x
    x = 69,373,190,935.78/302,465.75
  6. Step 6: Final answer
    x = 229,358.83

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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.