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Finding the Fourth Proportional to 294,411, 406,287.72 and 160,275

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Solution

The fourth proportional to 294,411, 406,287.72 and 160,275 is: 221,179.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,411 : 406,287.72 = 160,275 : x
  2. Step 2: Convert to fraction form
    294,411/406,287.72 = 160,275/x
  3. Step 3: Cross multiply
    294,411x = 406,287.72 × 160,275
  4. Step 4: Simplify right side
    294,411x = 65,117,764,323.00
  5. Step 5: Solve for x
    x = 65,117,764,323.00/294,411
  6. Step 6: Final answer
    x = 221,179.79

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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.