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Finding the Fourth Proportional to 298,206.80, 411,368.54 and 177,262.06

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Solution

The fourth proportional to 298,206.80, 411,368.54 and 177,262.06 is: 244,528.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,206.80 : 411,368.54 = 177,262.06 : x
  2. Step 2: Convert to fraction form
    298,206.80/411,368.54 = 177,262.06/x
  3. Step 3: Cross multiply
    298,206.80x = 411,368.54 × 177,262.06
  4. Step 4: Simplify right side
    298,206.80x = 72,920,034,819.59
  5. Step 5: Solve for x
    x = 72,920,034,819.59/298,206.80
  6. Step 6: Final answer
    x = 244,528.41

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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.