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Finding the Fourth Proportional to 298,046.16, 411,199.32 and 168,965.76

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Solution

The fourth proportional to 298,046.16, 411,199.32 and 168,965.76 is: 233,113.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,046.16 : 411,199.32 = 168,965.76 : x
  2. Step 2: Convert to fraction form
    298,046.16/411,199.32 = 168,965.76/x
  3. Step 3: Cross multiply
    298,046.16x = 411,199.32 × 168,965.76
  4. Step 4: Simplify right side
    298,046.16x = 69,478,605,615.28
  5. Step 5: Solve for x
    x = 69,478,605,615.28/298,046.16
  6. Step 6: Final answer
    x = 233,113.57

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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.