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Finding the Fourth Proportional to 473,460.54, 653,408.91 and 269,511.55

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Solution

The fourth proportional to 473,460.54, 653,408.91 and 269,511.55 is: 371,944.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,460.54 : 653,408.91 = 269,511.55 : x
  2. Step 2: Convert to fraction form
    473,460.54/653,408.91 = 269,511.55/x
  3. Step 3: Cross multiply
    473,460.54x = 653,408.91 × 269,511.55
  4. Step 4: Simplify right side
    473,460.54x = 176,101,248,117.91
  5. Step 5: Solve for x
    x = 176,101,248,117.91/473,460.54
  6. Step 6: Final answer
    x = 371,944.93

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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.