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Finding the Fourth Proportional to 517,503.80, 776,288.64 and 162,531.84

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Solution

The fourth proportional to 517,503.80, 776,288.64 and 162,531.84 is: 243,808.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,503.80 : 776,288.64 = 162,531.84 : x
  2. Step 2: Convert to fraction form
    517,503.80/776,288.64 = 162,531.84/x
  3. Step 3: Cross multiply
    517,503.80x = 776,288.64 × 162,531.84
  4. Step 4: Simplify right side
    517,503.80x = 126,171,621,030.30
  5. Step 5: Solve for x
    x = 126,171,621,030.30/517,503.80
  6. Step 6: Final answer
    x = 243,808.11

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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.