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Finding the Fourth Proportional to 296,816.16, 409,609.80 and 174,300.42

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Solution

The fourth proportional to 296,816.16, 409,609.80 and 174,300.42 is: 240,536.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,816.16 : 409,609.80 = 174,300.42 : x
  2. Step 2: Convert to fraction form
    296,816.16/409,609.80 = 174,300.42/x
  3. Step 3: Cross multiply
    296,816.16x = 409,609.80 × 174,300.42
  4. Step 4: Simplify right side
    296,816.16x = 71,395,160,176.12
  5. Step 5: Solve for x
    x = 71,395,160,176.12/296,816.16
  6. Step 6: Final answer
    x = 240,536.63

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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.