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Finding the Fourth Proportional to 380,624, 570,914.04 and 114,378.80

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Solution

The fourth proportional to 380,624, 570,914.04 and 114,378.80 is: 171,561.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,624 : 570,914.04 = 114,378.80 : x
  2. Step 2: Convert to fraction form
    380,624/570,914.04 = 114,378.80/x
  3. Step 3: Cross multiply
    380,624x = 570,914.04 × 114,378.80
  4. Step 4: Simplify right side
    380,624x = 65,300,462,798.35
  5. Step 5: Solve for x
    x = 65,300,462,798.35/380,624
  6. Step 6: Final answer
    x = 171,561.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.