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Finding the Fourth Proportional to 473,209.73, 652,999.03 and 258,349.34

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Solution

The fourth proportional to 473,209.73, 652,999.03 and 258,349.34 is: 356,505.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,209.73 : 652,999.03 = 258,349.34 : x
  2. Step 2: Convert to fraction form
    473,209.73/652,999.03 = 258,349.34/x
  3. Step 3: Cross multiply
    473,209.73x = 652,999.03 × 258,349.34
  4. Step 4: Simplify right side
    473,209.73x = 168,701,868,421.14
  5. Step 5: Solve for x
    x = 168,701,868,421.14/473,209.73
  6. Step 6: Final answer
    x = 356,505.49

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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.