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Finding the Fourth Proportional to 296,323.49, 408,926.40 and 160,357.43

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Solution

The fourth proportional to 296,323.49, 408,926.40 and 160,357.43 is: 221,293.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,323.49 : 408,926.40 = 160,357.43 : x
  2. Step 2: Convert to fraction form
    296,323.49/408,926.40 = 160,357.43/x
  3. Step 3: Cross multiply
    296,323.49x = 408,926.40 × 160,357.43
  4. Step 4: Simplify right side
    296,323.49x = 65,574,384,518.52
  5. Step 5: Solve for x
    x = 65,574,384,518.52/296,323.49
  6. Step 6: Final answer
    x = 221,293.24

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1.5x scale

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.