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Finding the Fourth Proportional to 296,473.26, 409,130.24 and 160,503.72

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Solution

The fourth proportional to 296,473.26, 409,130.24 and 160,503.72 is: 221,493.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,473.26 : 409,130.24 = 160,503.72 : x
  2. Step 2: Convert to fraction form
    296,473.26/409,130.24 = 160,503.72/x
  3. Step 3: Cross multiply
    296,473.26x = 409,130.24 × 160,503.72
  4. Step 4: Simplify right side
    296,473.26x = 65,666,924,681.97
  5. Step 5: Solve for x
    x = 65,666,924,681.97/296,473.26
  6. Step 6: Final answer
    x = 221,493.58

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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.