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Finding the Fourth Proportional to 384,025.60, 576,038.40 and 195,068.80

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Solution

The fourth proportional to 384,025.60, 576,038.40 and 195,068.80 is: 292,603.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,025.60 : 576,038.40 = 195,068.80 : x
  2. Step 2: Convert to fraction form
    384,025.60/576,038.40 = 195,068.80/x
  3. Step 3: Cross multiply
    384,025.60x = 576,038.40 × 195,068.80
  4. Step 4: Simplify right side
    384,025.60x = 112,367,119,441.92
  5. Step 5: Solve for x
    x = 112,367,119,441.92/384,025.60
  6. Step 6: Final answer
    x = 292,603.20

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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.