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Finding the Fourth Proportional to 301,807.70, 416,470.25 and 174,491.50

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Solution

The fourth proportional to 301,807.70, 416,470.25 and 174,491.50 is: 240,784.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,807.70 : 416,470.25 = 174,491.50 : x
  2. Step 2: Convert to fraction form
    301,807.70/416,470.25 = 174,491.50/x
  3. Step 3: Cross multiply
    301,807.70x = 416,470.25 × 174,491.50
  4. Step 4: Simplify right side
    301,807.70x = 72,670,518,627.88
  5. Step 5: Solve for x
    x = 72,670,518,627.88/301,807.70
  6. Step 6: Final answer
    x = 240,784.18

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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.