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Finding the Fourth Proportional to 296,471.13, 409,130.82 and 160,506.51

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Solution

The fourth proportional to 296,471.13, 409,130.82 and 160,506.51 is: 221,499.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,471.13 : 409,130.82 = 160,506.51 : x
  2. Step 2: Convert to fraction form
    296,471.13/409,130.82 = 160,506.51/x
  3. Step 3: Cross multiply
    296,471.13x = 409,130.82 × 160,506.51
  4. Step 4: Simplify right side
    296,471.13x = 65,668,160,051.64
  5. Step 5: Solve for x
    x = 65,668,160,051.64/296,471.13
  6. Step 6: Final answer
    x = 221,499.34

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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.