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Finding the Fourth Proportional to 294,386, 406,252.70 and 160,250

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Solution

The fourth proportional to 294,386, 406,252.70 and 160,250 is: 221,145.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,386 : 406,252.70 = 160,250 : x
  2. Step 2: Convert to fraction form
    294,386/406,252.70 = 160,250/x
  3. Step 3: Cross multiply
    294,386x = 406,252.70 × 160,250
  4. Step 4: Simplify right side
    294,386x = 65,101,995,175
  5. Step 5: Solve for x
    x = 65,101,995,175/294,386
  6. Step 6: Final answer
    x = 221,145.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.