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Finding the Fourth Proportional to 473,461.23, 653,409.86 and 269,512.25

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Solution

The fourth proportional to 473,461.23, 653,409.86 and 269,512.25 is: 371,945.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,461.23 : 653,409.86 = 269,512.25 : x
  2. Step 2: Convert to fraction form
    473,461.23/653,409.86 = 269,512.25/x
  3. Step 3: Cross multiply
    473,461.23x = 653,409.86 × 269,512.25
  4. Step 4: Simplify right side
    473,461.23x = 176,101,956,926.17
  5. Step 5: Solve for x
    x = 176,101,956,926.17/473,461.23
  6. Step 6: Final answer
    x = 371,945.89

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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.