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Finding the Fourth Proportional to 299,430.78, 448,907.76 and 172,927.14

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Solution

The fourth proportional to 299,430.78, 448,907.76 and 172,927.14 is: 259,253.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,430.78 : 448,907.76 = 172,927.14 : x
  2. Step 2: Convert to fraction form
    299,430.78/448,907.76 = 172,927.14/x
  3. Step 3: Cross multiply
    299,430.78x = 448,907.76 × 172,927.14
  4. Step 4: Simplify right side
    299,430.78x = 77,628,335,060.61
  5. Step 5: Solve for x
    x = 77,628,335,060.61/299,430.78
  6. Step 6: Final answer
    x = 259,253.02

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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.