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Finding the Fourth Proportional to 473,588.36, 653,582.10 and 269,657.10

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Solution

The fourth proportional to 473,588.36, 653,582.10 and 269,657.10 is: 372,143.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,588.36 : 653,582.10 = 269,657.10 : x
  2. Step 2: Convert to fraction form
    473,588.36/653,582.10 = 269,657.10/x
  3. Step 3: Cross multiply
    473,588.36x = 653,582.10 × 269,657.10
  4. Step 4: Simplify right side
    473,588.36x = 176,243,053,697.91
  5. Step 5: Solve for x
    x = 176,243,053,697.91/473,588.36
  6. Step 6: Final answer
    x = 372,143.97

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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.