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Finding the Fourth Proportional to 460,689.61, 635,564.38 and 305,713.98

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Solution

The fourth proportional to 460,689.61, 635,564.38 and 305,713.98 is: 421,761.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,689.61 : 635,564.38 = 305,713.98 : x
  2. Step 2: Convert to fraction form
    460,689.61/635,564.38 = 305,713.98/x
  3. Step 3: Cross multiply
    460,689.61x = 635,564.38 × 305,713.98
  4. Step 4: Simplify right side
    460,689.61x = 194,300,918,216.34
  5. Step 5: Solve for x
    x = 194,300,918,216.34/460,689.61
  6. Step 6: Final answer
    x = 421,761.02

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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.