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Finding the Fourth Proportional to 296,353.08, 409,001.40 and 169,047

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Solution

The fourth proportional to 296,353.08, 409,001.40 and 169,047 is: 233,304.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,353.08 : 409,001.40 = 169,047 : x
  2. Step 2: Convert to fraction form
    296,353.08/409,001.40 = 169,047/x
  3. Step 3: Cross multiply
    296,353.08x = 409,001.40 × 169,047
  4. Step 4: Simplify right side
    296,353.08x = 69,140,459,665.80
  5. Step 5: Solve for x
    x = 69,140,459,665.80/296,353.08
  6. Step 6: Final answer
    x = 233,304.34

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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.