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Finding the Fourth Proportional to 294,643.31, 406,607.84 and 160,507.31

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Solution

The fourth proportional to 294,643.31, 406,607.84 and 160,507.31 is: 221,500.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,643.31 : 406,607.84 = 160,507.31 : x
  2. Step 2: Convert to fraction form
    294,643.31/406,607.84 = 160,507.31/x
  3. Step 3: Cross multiply
    294,643.31x = 406,607.84 × 160,507.31
  4. Step 4: Simplify right side
    294,643.31x = 65,263,530,623.31
  5. Step 5: Solve for x
    x = 65,263,530,623.31/294,643.31
  6. Step 6: Final answer
    x = 221,500.13

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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.