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Finding the Fourth Proportional to 407,497.66, 611,246.46 and 154,777.52

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Solution

The fourth proportional to 407,497.66, 611,246.46 and 154,777.52 is: 232,166.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,497.66 : 611,246.46 = 154,777.52 : x
  2. Step 2: Convert to fraction form
    407,497.66/611,246.46 = 154,777.52/x
  3. Step 3: Cross multiply
    407,497.66x = 611,246.46 × 154,777.52
  4. Step 4: Simplify right side
    407,497.66x = 94,607,211,187.58
  5. Step 5: Solve for x
    x = 94,607,211,187.58/407,497.66
  6. Step 6: Final answer
    x = 232,166.27

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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.