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Finding the Fourth Proportional to 294,506.42, 406,428.69 and 160,375.22

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Solution

The fourth proportional to 294,506.42, 406,428.69 and 160,375.22 is: 221,323.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,506.42 : 406,428.69 = 160,375.22 : x
  2. Step 2: Convert to fraction form
    294,506.42/406,428.69 = 160,375.22/x
  3. Step 3: Cross multiply
    294,506.42x = 406,428.69 × 160,375.22
  4. Step 4: Simplify right side
    294,506.42x = 65,181,090,573.06
  5. Step 5: Solve for x
    x = 65,181,090,573.06/294,506.42
  6. Step 6: Final answer
    x = 221,323.16

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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.