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Finding the Fourth Proportional to 564,815.40, 847,223.10 and 190,838.40

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Solution

The fourth proportional to 564,815.40, 847,223.10 and 190,838.40 is: 286,257.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,815.40 : 847,223.10 = 190,838.40 : x
  2. Step 2: Convert to fraction form
    564,815.40/847,223.10 = 190,838.40/x
  3. Step 3: Cross multiply
    564,815.40x = 847,223.10 × 190,838.40
  4. Step 4: Simplify right side
    564,815.40x = 161,682,700,847.04
  5. Step 5: Solve for x
    x = 161,682,700,847.04/564,815.40
  6. Step 6: Final answer
    x = 286,257.60

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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.