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Finding the Fourth Proportional to 564,696.72, 847,171.44 and 190,710

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Solution

The fourth proportional to 564,696.72, 847,171.44 and 190,710 is: 286,107.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,696.72 : 847,171.44 = 190,710 : x
  2. Step 2: Convert to fraction form
    564,696.72/847,171.44 = 190,710/x
  3. Step 3: Cross multiply
    564,696.72x = 847,171.44 × 190,710
  4. Step 4: Simplify right side
    564,696.72x = 161,564,065,322.40
  5. Step 5: Solve for x
    x = 161,564,065,322.40/564,696.72
  6. Step 6: Final answer
    x = 286,107.67

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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.