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Finding the Fourth Proportional to 296,543.77, 409,232.37 and 160,577.72

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Solution

The fourth proportional to 296,543.77, 409,232.37 and 160,577.72 is: 221,598.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,543.77 : 409,232.37 = 160,577.72 : x
  2. Step 2: Convert to fraction form
    296,543.77/409,232.37 = 160,577.72/x
  3. Step 3: Cross multiply
    296,543.77x = 409,232.37 × 160,577.72
  4. Step 4: Simplify right side
    296,543.77x = 65,713,598,075.75
  5. Step 5: Solve for x
    x = 65,713,598,075.75/296,543.77
  6. Step 6: Final answer
    x = 221,598.31

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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.