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Finding the Fourth Proportional to 456,802.70, 684,926.58 and 228,833.18

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Solution

The fourth proportional to 456,802.70, 684,926.58 and 228,833.18 is: 343,110.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,802.70 : 684,926.58 = 228,833.18 : x
  2. Step 2: Convert to fraction form
    456,802.70/684,926.58 = 228,833.18/x
  3. Step 3: Cross multiply
    456,802.70x = 684,926.58 × 228,833.18
  4. Step 4: Simplify right side
    456,802.70x = 156,733,927,367.92
  5. Step 5: Solve for x
    x = 156,733,927,367.92/456,802.70
  6. Step 6: Final answer
    x = 343,110.77

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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.