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Finding the Fourth Proportional to 354,730.60, 532,095.90 and 284,746.60

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Solution

The fourth proportional to 354,730.60, 532,095.90 and 284,746.60 is: 427,119.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,730.60 : 532,095.90 = 284,746.60 : x
  2. Step 2: Convert to fraction form
    354,730.60/532,095.90 = 284,746.60/x
  3. Step 3: Cross multiply
    354,730.60x = 532,095.90 × 284,746.60
  4. Step 4: Simplify right side
    354,730.60x = 151,512,498,398.94
  5. Step 5: Solve for x
    x = 151,512,498,398.94/354,730.60
  6. Step 6: Final answer
    x = 427,119.90

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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.