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Finding the Fourth Proportional to 301,637.61, 416,213.58 and 174,288.60

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Solution

The fourth proportional to 301,637.61, 416,213.58 and 174,288.60 is: 240,491.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,637.61 : 416,213.58 = 174,288.60 : x
  2. Step 2: Convert to fraction form
    301,637.61/416,213.58 = 174,288.60/x
  3. Step 3: Cross multiply
    301,637.61x = 416,213.58 × 174,288.60
  4. Step 4: Simplify right side
    301,637.61x = 72,541,282,159.19
  5. Step 5: Solve for x
    x = 72,541,282,159.19/301,637.61
  6. Step 6: Final answer
    x = 240,491.50

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