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Finding the Fourth Proportional to 384,017.60, 576,026.40 and 349,025.60

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Solution

The fourth proportional to 384,017.60, 576,026.40 and 349,025.60 is: 523,538.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,017.60 : 576,026.40 = 349,025.60 : x
  2. Step 2: Convert to fraction form
    384,017.60/576,026.40 = 349,025.60/x
  3. Step 3: Cross multiply
    384,017.60x = 576,026.40 × 349,025.60
  4. Step 4: Simplify right side
    384,017.60x = 201,047,959,875.84
  5. Step 5: Solve for x
    x = 201,047,959,875.84/384,017.60
  6. Step 6: Final answer
    x = 523,538.40

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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.