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Finding the Fourth Proportional to 294,312, 406,150.56 and 160,176

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Solution

The fourth proportional to 294,312, 406,150.56 and 160,176 is: 221,042.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,312 : 406,150.56 = 160,176 : x
  2. Step 2: Convert to fraction form
    294,312/406,150.56 = 160,176/x
  3. Step 3: Cross multiply
    294,312x = 406,150.56 × 160,176
  4. Step 4: Simplify right side
    294,312x = 65,055,572,098.56
  5. Step 5: Solve for x
    x = 65,055,572,098.56/294,312
  6. Step 6: Final answer
    x = 221,042.88

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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.