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Finding the Fourth Proportional to 354,507.74, 531,318.13 and 177,064.28

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Solution

The fourth proportional to 354,507.74, 531,318.13 and 177,064.28 is: 265,374.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,507.74 : 531,318.13 = 177,064.28 : x
  2. Step 2: Convert to fraction form
    354,507.74/531,318.13 = 177,064.28/x
  3. Step 3: Cross multiply
    354,507.74x = 531,318.13 × 177,064.28
  4. Step 4: Simplify right side
    354,507.74x = 94,077,462,139.40
  5. Step 5: Solve for x
    x = 94,077,462,139.40/354,507.74
  6. Step 6: Final answer
    x = 265,374.92

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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.