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Finding the Fourth Proportional to 296,543.34, 409,259.16 and 169,238.07

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Solution

The fourth proportional to 296,543.34, 409,259.16 and 169,238.07 is: 233,565.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,543.34 : 409,259.16 = 169,238.07 : x
  2. Step 2: Convert to fraction form
    296,543.34/409,259.16 = 169,238.07/x
  3. Step 3: Cross multiply
    296,543.34x = 409,259.16 × 169,238.07
  4. Step 4: Simplify right side
    296,543.34x = 69,262,230,368.22
  5. Step 5: Solve for x
    x = 69,262,230,368.22/296,543.34
  6. Step 6: Final answer
    x = 233,565.29

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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.