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Finding the Fourth Proportional to 294,862, 406,909.74 and 160,726

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Solution

The fourth proportional to 294,862, 406,909.74 and 160,726 is: 221,801.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,862 : 406,909.74 = 160,726 : x
  2. Step 2: Convert to fraction form
    294,862/406,909.74 = 160,726/x
  3. Step 3: Cross multiply
    294,862x = 406,909.74 × 160,726
  4. Step 4: Simplify right side
    294,862x = 65,400,974,871.24
  5. Step 5: Solve for x
    x = 65,400,974,871.24/294,862
  6. Step 6: Final answer
    x = 221,801.98

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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.