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Finding the Fourth Proportional to 269,468.40, 403,677.54 and 164,025.84

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Solution

The fourth proportional to 269,468.40, 403,677.54 and 164,025.84 is: 245,719.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,468.40 : 403,677.54 = 164,025.84 : x
  2. Step 2: Convert to fraction form
    269,468.40/403,677.54 = 164,025.84/x
  3. Step 3: Cross multiply
    269,468.40x = 403,677.54 × 164,025.84
  4. Step 4: Simplify right side
    269,468.40x = 66,213,547,587.63
  5. Step 5: Solve for x
    x = 66,213,547,587.63/269,468.40
  6. Step 6: Final answer
    x = 245,719.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.