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Finding the Fourth Proportional to 296,473.39, 409,133.43 and 160,507.37

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Solution

The fourth proportional to 296,473.39, 409,133.43 and 160,507.37 is: 221,500.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,473.39 : 409,133.43 = 160,507.37 : x
  2. Step 2: Convert to fraction form
    296,473.39/409,133.43 = 160,507.37/x
  3. Step 3: Cross multiply
    296,473.39x = 409,133.43 × 160,507.37
  4. Step 4: Simplify right side
    296,473.39x = 65,668,931,851.21
  5. Step 5: Solve for x
    x = 65,668,931,851.21/296,473.39
  6. Step 6: Final answer
    x = 221,500.26

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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.