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Finding the Fourth Proportional to 310,678.18, 466,483.83 and 177,708.58

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Solution

The fourth proportional to 310,678.18, 466,483.83 and 177,708.58 is: 266,829.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,678.18 : 466,483.83 = 177,708.58 : x
  2. Step 2: Convert to fraction form
    310,678.18/466,483.83 = 177,708.58/x
  3. Step 3: Cross multiply
    310,678.18x = 466,483.83 × 177,708.58
  4. Step 4: Simplify right side
    310,678.18x = 82,898,179,022.26
  5. Step 5: Solve for x
    x = 82,898,179,022.26/310,678.18
  6. Step 6: Final answer
    x = 266,829.74

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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.