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Finding the Fourth Proportional to 473,206.86, 653,016.74 and 269,253.32

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Solution

The fourth proportional to 473,206.86, 653,016.74 and 269,253.32 is: 371,564.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,206.86 : 653,016.74 = 269,253.32 : x
  2. Step 2: Convert to fraction form
    473,206.86/653,016.74 = 269,253.32/x
  3. Step 3: Cross multiply
    473,206.86x = 653,016.74 × 269,253.32
  4. Step 4: Simplify right side
    473,206.86x = 175,826,920,649.23
  5. Step 5: Solve for x
    x = 175,826,920,649.23/473,206.86
  6. Step 6: Final answer
    x = 371,564.61

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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.