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Finding the Fourth Proportional to 354,810.10, 532,215.15 and 228,838.90

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Solution

The fourth proportional to 354,810.10, 532,215.15 and 228,838.90 is: 343,258.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,810.10 : 532,215.15 = 228,838.90 : x
  2. Step 2: Convert to fraction form
    354,810.10/532,215.15 = 228,838.90/x
  3. Step 3: Cross multiply
    354,810.10x = 532,215.15 × 228,838.90
  4. Step 4: Simplify right side
    354,810.10x = 121,791,529,489.34
  5. Step 5: Solve for x
    x = 121,791,529,489.34/354,810.10
  6. Step 6: Final answer
    x = 343,258.35

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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.