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Finding the Fourth Proportional to 300,537.32, 414,746.60 and 164,569.10

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Solution

The fourth proportional to 300,537.32, 414,746.60 and 164,569.10 is: 227,108.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,537.32 : 414,746.60 = 164,569.10 : x
  2. Step 2: Convert to fraction form
    300,537.32/414,746.60 = 164,569.10/x
  3. Step 3: Cross multiply
    300,537.32x = 414,746.60 × 164,569.10
  4. Step 4: Simplify right side
    300,537.32x = 68,254,474,690.06
  5. Step 5: Solve for x
    x = 68,254,474,690.06/300,537.32
  6. Step 6: Final answer
    x = 227,108.15

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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.