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Finding the Fourth Proportional to 416,448.36, 624,674.25 and 116,931.42

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Solution

The fourth proportional to 416,448.36, 624,674.25 and 116,931.42 is: 175,397.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,448.36 : 624,674.25 = 116,931.42 : x
  2. Step 2: Convert to fraction form
    416,448.36/624,674.25 = 116,931.42/x
  3. Step 3: Cross multiply
    416,448.36x = 624,674.25 × 116,931.42
  4. Step 4: Simplify right side
    416,448.36x = 73,044,047,089.94
  5. Step 5: Solve for x
    x = 73,044,047,089.94/416,448.36
  6. Step 6: Final answer
    x = 175,397.61

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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.