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Finding the Fourth Proportional to 294,677.36, 406,654.80 and 160,541.36

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Solution

The fourth proportional to 294,677.36, 406,654.80 and 160,541.36 is: 221,547.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,677.36 : 406,654.80 = 160,541.36 : x
  2. Step 2: Convert to fraction form
    294,677.36/406,654.80 = 160,541.36/x
  3. Step 3: Cross multiply
    294,677.36x = 406,654.80 × 160,541.36
  4. Step 4: Simplify right side
    294,677.36x = 65,284,914,642.53
  5. Step 5: Solve for x
    x = 65,284,914,642.53/294,677.36
  6. Step 6: Final answer
    x = 221,547.10

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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.