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Finding the Fourth Proportional to 384,144.60, 576,216.90 and 103,661.40

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Solution

The fourth proportional to 384,144.60, 576,216.90 and 103,661.40 is: 155,492.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,144.60 : 576,216.90 = 103,661.40 : x
  2. Step 2: Convert to fraction form
    384,144.60/576,216.90 = 103,661.40/x
  3. Step 3: Cross multiply
    384,144.60x = 576,216.90 × 103,661.40
  4. Step 4: Simplify right side
    384,144.60x = 59,731,450,557.66
  5. Step 5: Solve for x
    x = 59,731,450,557.66/384,144.60
  6. Step 6: Final answer
    x = 155,492.10

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Why These Related Problems?

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