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Finding the Fourth Proportional to 380,025.60, 570,038.40 and 355,142.40

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Solution

The fourth proportional to 380,025.60, 570,038.40 and 355,142.40 is: 532,713.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,025.60 : 570,038.40 = 355,142.40 : x
  2. Step 2: Convert to fraction form
    380,025.60/570,038.40 = 355,142.40/x
  3. Step 3: Cross multiply
    380,025.60x = 570,038.40 × 355,142.40
  4. Step 4: Simplify right side
    380,025.60x = 202,444,805,468.16
  5. Step 5: Solve for x
    x = 202,444,805,468.16/380,025.60
  6. Step 6: Final answer
    x = 532,713.60

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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.