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Finding the Fourth Proportional to 296,750.34, 409,544.78 and 169,445.07

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Solution

The fourth proportional to 296,750.34, 409,544.78 and 169,445.07 is: 233,850.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,750.34 : 409,544.78 = 169,445.07 : x
  2. Step 2: Convert to fraction form
    296,750.34/409,544.78 = 169,445.07/x
  3. Step 3: Cross multiply
    296,750.34x = 409,544.78 × 169,445.07
  4. Step 4: Simplify right side
    296,750.34x = 69,395,343,068.01
  5. Step 5: Solve for x
    x = 69,395,343,068.01/296,750.34
  6. Step 6: Final answer
    x = 233,850.93

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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.