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Finding the Fourth Proportional to 354,937.60, 532,406.40 and 228,966.40

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Solution

The fourth proportional to 354,937.60, 532,406.40 and 228,966.40 is: 343,449.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,937.60 : 532,406.40 = 228,966.40 : x
  2. Step 2: Convert to fraction form
    354,937.60/532,406.40 = 228,966.40/x
  3. Step 3: Cross multiply
    354,937.60x = 532,406.40 × 228,966.40
  4. Step 4: Simplify right side
    354,937.60x = 121,903,176,744.96
  5. Step 5: Solve for x
    x = 121,903,176,744.96/354,937.60
  6. Step 6: Final answer
    x = 343,449.60

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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.