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Finding the Fourth Proportional to 416,762.35, 624,460.08 and 176,684.42

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Solution

The fourth proportional to 416,762.35, 624,460.08 and 176,684.42 is: 264,736.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,762.35 : 624,460.08 = 176,684.42 : x
  2. Step 2: Convert to fraction form
    416,762.35/624,460.08 = 176,684.42/x
  3. Step 3: Cross multiply
    416,762.35x = 624,460.08 × 176,684.42
  4. Step 4: Simplify right side
    416,762.35x = 110,332,369,271.67
  5. Step 5: Solve for x
    x = 110,332,369,271.67/416,762.35
  6. Step 6: Final answer
    x = 264,736.89

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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.