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Finding the Fourth Proportional to 310,254.88, 428,140.32 and 189,598.08

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Solution

The fourth proportional to 310,254.88, 428,140.32 and 189,598.08 is: 261,638.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,254.88 : 428,140.32 = 189,598.08 : x
  2. Step 2: Convert to fraction form
    310,254.88/428,140.32 = 189,598.08/x
  3. Step 3: Cross multiply
    310,254.88x = 428,140.32 × 189,598.08
  4. Step 4: Simplify right side
    310,254.88x = 81,174,582,642.59
  5. Step 5: Solve for x
    x = 81,174,582,642.59/310,254.88
  6. Step 6: Final answer
    x = 261,638.38

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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.