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Finding the Fourth Proportional to 299,102.34, 448,177.54 and 209,315.06

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Solution

The fourth proportional to 299,102.34, 448,177.54 and 209,315.06 is: 313,639.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,102.34 : 448,177.54 = 209,315.06 : x
  2. Step 2: Convert to fraction form
    299,102.34/448,177.54 = 209,315.06/x
  3. Step 3: Cross multiply
    299,102.34x = 448,177.54 × 209,315.06
  4. Step 4: Simplify right side
    299,102.34x = 93,810,308,675.75
  5. Step 5: Solve for x
    x = 93,810,308,675.75/299,102.34
  6. Step 6: Final answer
    x = 313,639.50

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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.