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Finding the Fourth Proportional to 296,641.36, 409,307.34 and 239,954.32

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Solution

The fourth proportional to 296,641.36, 409,307.34 and 239,954.32 is: 331,090.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,641.36 : 409,307.34 = 239,954.32 : x
  2. Step 2: Convert to fraction form
    296,641.36/409,307.34 = 239,954.32/x
  3. Step 3: Cross multiply
    296,641.36x = 409,307.34 × 239,954.32
  4. Step 4: Simplify right side
    296,641.36x = 98,215,064,440.71
  5. Step 5: Solve for x
    x = 98,215,064,440.71/296,641.36
  6. Step 6: Final answer
    x = 331,090.26

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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.