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Finding the Fourth Proportional to 298,272.38, 411,547.67 and 169,180.01

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Solution

The fourth proportional to 298,272.38, 411,547.67 and 169,180.01 is: 233,429.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,272.38 : 411,547.67 = 169,180.01 : x
  2. Step 2: Convert to fraction form
    298,272.38/411,547.67 = 169,180.01/x
  3. Step 3: Cross multiply
    298,272.38x = 411,547.67 × 169,180.01
  4. Step 4: Simplify right side
    298,272.38x = 69,625,638,200.17
  5. Step 5: Solve for x
    x = 69,625,638,200.17/298,272.38
  6. Step 6: Final answer
    x = 233,429.72

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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.