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Finding the Fourth Proportional to 294,871.53, 406,920.59 and 167,547.14

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Solution

The fourth proportional to 294,871.53, 406,920.59 and 167,547.14 is: 231,213.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,871.53 : 406,920.59 = 167,547.14 : x
  2. Step 2: Convert to fraction form
    294,871.53/406,920.59 = 167,547.14/x
  3. Step 3: Cross multiply
    294,871.53x = 406,920.59 × 167,547.14
  4. Step 4: Simplify right side
    294,871.53x = 68,178,379,027.01
  5. Step 5: Solve for x
    x = 68,178,379,027.01/294,871.53
  6. Step 6: Final answer
    x = 231,213.84

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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.