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Finding the Fourth Proportional to 302,260.32, 452,768.04 and 177,300

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Solution

The fourth proportional to 302,260.32, 452,768.04 and 177,300 is: 265,584.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,260.32 : 452,768.04 = 177,300 : x
  2. Step 2: Convert to fraction form
    302,260.32/452,768.04 = 177,300/x
  3. Step 3: Cross multiply
    302,260.32x = 452,768.04 × 177,300
  4. Step 4: Simplify right side
    302,260.32x = 80,275,773,492
  5. Step 5: Solve for x
    x = 80,275,773,492/302,260.32
  6. Step 6: Final answer
    x = 265,584.89

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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.