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Finding the Fourth Proportional to 476,499.92, 714,750.14 and 299,131.49

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Solution

The fourth proportional to 476,499.92, 714,750.14 and 299,131.49 is: 448,697.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,499.92 : 714,750.14 = 299,131.49 : x
  2. Step 2: Convert to fraction form
    476,499.92/714,750.14 = 299,131.49/x
  3. Step 3: Cross multiply
    476,499.92x = 714,750.14 × 299,131.49
  4. Step 4: Simplify right side
    476,499.92x = 213,804,272,110.74
  5. Step 5: Solve for x
    x = 213,804,272,110.74/476,499.92
  6. Step 6: Final answer
    x = 448,697.39

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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.