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Finding the Fourth Proportional to 294,744.21, 406,746.93 and 160,608.21

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Solution

The fourth proportional to 294,744.21, 406,746.93 and 160,608.21 is: 221,639.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,744.21 : 406,746.93 = 160,608.21 : x
  2. Step 2: Convert to fraction form
    294,744.21/406,746.93 = 160,608.21/x
  3. Step 3: Cross multiply
    294,744.21x = 406,746.93 × 160,608.21
  4. Step 4: Simplify right side
    294,744.21x = 65,326,896,350.30
  5. Step 5: Solve for x
    x = 65,326,896,350.30/294,744.21
  6. Step 6: Final answer
    x = 221,639.29

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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.