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Finding the Fourth Proportional to 522,616.64, 783,395.54 and 354,153.98

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Solution

The fourth proportional to 522,616.64, 783,395.54 and 354,153.98 is: 530,872.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,616.64 : 783,395.54 = 354,153.98 : x
  2. Step 2: Convert to fraction form
    522,616.64/783,395.54 = 354,153.98/x
  3. Step 3: Cross multiply
    522,616.64x = 783,395.54 × 354,153.98
  4. Step 4: Simplify right side
    522,616.64x = 277,442,648,405.25
  5. Step 5: Solve for x
    x = 277,442,648,405.25/522,616.64
  6. Step 6: Final answer
    x = 530,872.21

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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.