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Finding the Fourth Proportional to 255,643.60, 383,465.40 and 238,147.60

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Solution

The fourth proportional to 255,643.60, 383,465.40 and 238,147.60 is: 357,221.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,643.60 : 383,465.40 = 238,147.60 : x
  2. Step 2: Convert to fraction form
    255,643.60/383,465.40 = 238,147.60/x
  3. Step 3: Cross multiply
    255,643.60x = 383,465.40 × 238,147.60
  4. Step 4: Simplify right side
    255,643.60x = 91,321,364,693.04
  5. Step 5: Solve for x
    x = 91,321,364,693.04/255,643.60
  6. Step 6: Final answer
    x = 357,221.40

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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.