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Finding the Fourth Proportional to 301,763.98, 416,470.50 and 180,971.72

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Solution

The fourth proportional to 301,763.98, 416,470.50 and 180,971.72 is: 249,762.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,763.98 : 416,470.50 = 180,971.72 : x
  2. Step 2: Convert to fraction form
    301,763.98/416,470.50 = 180,971.72/x
  3. Step 3: Cross multiply
    301,763.98x = 416,470.50 × 180,971.72
  4. Step 4: Simplify right side
    301,763.98x = 75,369,379,727.05
  5. Step 5: Solve for x
    x = 75,369,379,727.05/301,763.98
  6. Step 6: Final answer
    x = 249,762.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.