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Finding the Fourth Proportional to 629,166.48, 942,816.57 and 462,138

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Solution

The fourth proportional to 629,166.48, 942,816.57 and 462,138 is: 692,521.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    629,166.48 : 942,816.57 = 462,138 : x
  2. Step 2: Convert to fraction form
    629,166.48/942,816.57 = 462,138/x
  3. Step 3: Cross multiply
    629,166.48x = 942,816.57 × 462,138
  4. Step 4: Simplify right side
    629,166.48x = 435,711,364,026.66
  5. Step 5: Solve for x
    x = 435,711,364,026.66/629,166.48
  6. Step 6: Final answer
    x = 692,521.58

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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.