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Finding the Fourth Proportional to 473,885.69, 710,902.44 and 284,301.54

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Solution

The fourth proportional to 473,885.69, 710,902.44 and 284,301.54 is: 426,496.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,885.69 : 710,902.44 = 284,301.54 : x
  2. Step 2: Convert to fraction form
    473,885.69/710,902.44 = 284,301.54/x
  3. Step 3: Cross multiply
    473,885.69x = 710,902.44 × 284,301.54
  4. Step 4: Simplify right side
    473,885.69x = 202,110,658,481.76
  5. Step 5: Solve for x
    x = 202,110,658,481.76/473,885.69
  6. Step 6: Final answer
    x = 426,496.65

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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.