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Finding the Fourth Proportional to 299,275.65, 448,917.42 and 99,596.07

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Solution

The fourth proportional to 299,275.65, 448,917.42 and 99,596.07 is: 149,395.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,275.65 : 448,917.42 = 99,596.07 : x
  2. Step 2: Convert to fraction form
    299,275.65/448,917.42 = 99,596.07/x
  3. Step 3: Cross multiply
    299,275.65x = 448,917.42 × 99,596.07
  4. Step 4: Simplify right side
    299,275.65x = 44,710,411,160.02
  5. Step 5: Solve for x
    x = 44,710,411,160.02/299,275.65
  6. Step 6: Final answer
    x = 149,395.42

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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.