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Finding the Fourth Proportional to 298,313.04, 411,824.34 and 230,176.92

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Solution

The fourth proportional to 298,313.04, 411,824.34 and 230,176.92 is: 317,761.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,313.04 : 411,824.34 = 230,176.92 : x
  2. Step 2: Convert to fraction form
    298,313.04/411,824.34 = 230,176.92/x
  3. Step 3: Cross multiply
    298,313.04x = 411,824.34 × 230,176.92
  4. Step 4: Simplify right side
    298,313.04x = 94,792,458,162.23
  5. Step 5: Solve for x
    x = 94,792,458,162.23/298,313.04
  6. Step 6: Final answer
    x = 317,761.70

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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.