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Finding the Fourth Proportional to 224,289, 336,001.77 and 176,652.09

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Solution

The fourth proportional to 224,289, 336,001.77 and 176,652.09 is: 264,638.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,289 : 336,001.77 = 176,652.09 : x
  2. Step 2: Convert to fraction form
    224,289/336,001.77 = 176,652.09/x
  3. Step 3: Cross multiply
    224,289x = 336,001.77 × 176,652.09
  4. Step 4: Simplify right side
    224,289x = 59,355,414,914.20
  5. Step 5: Solve for x
    x = 59,355,414,914.20/224,289
  6. Step 6: Final answer
    x = 264,638.10

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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.