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Finding the Fourth Proportional to 564,639.90, 846,212.30 and 414,175.70

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Solution

The fourth proportional to 564,639.90, 846,212.30 and 414,175.70 is: 620,715.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,639.90 : 846,212.30 = 414,175.70 : x
  2. Step 2: Convert to fraction form
    564,639.90/846,212.30 = 414,175.70/x
  3. Step 3: Cross multiply
    564,639.90x = 846,212.30 × 414,175.70
  4. Step 4: Simplify right side
    564,639.90x = 350,480,571,701.11
  5. Step 5: Solve for x
    x = 350,480,571,701.11/564,639.90
  6. Step 6: Final answer
    x = 620,715.21

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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.