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Finding the Fourth Proportional to 270,497.40, 405,746.10 and 165,521.40

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Solution

The fourth proportional to 270,497.40, 405,746.10 and 165,521.40 is: 248,282.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,497.40 : 405,746.10 = 165,521.40 : x
  2. Step 2: Convert to fraction form
    270,497.40/405,746.10 = 165,521.40/x
  3. Step 3: Cross multiply
    270,497.40x = 405,746.10 × 165,521.40
  4. Step 4: Simplify right side
    270,497.40x = 67,159,662,516.54
  5. Step 5: Solve for x
    x = 67,159,662,516.54/270,497.40
  6. Step 6: Final answer
    x = 248,282.10

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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.