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Finding the Fourth Proportional to 296,543.81, 409,232.41 and 160,577.77

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Solution

The fourth proportional to 296,543.81, 409,232.41 and 160,577.77 is: 221,598.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,543.81 : 409,232.41 = 160,577.77 : x
  2. Step 2: Convert to fraction form
    296,543.81/409,232.41 = 160,577.77/x
  3. Step 3: Cross multiply
    296,543.81x = 409,232.41 × 160,577.77
  4. Step 4: Simplify right side
    296,543.81x = 65,713,626,385.00
  5. Step 5: Solve for x
    x = 65,713,626,385.00/296,543.81
  6. Step 6: Final answer
    x = 221,598.37

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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.