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Finding the Fourth Proportional to 522,641.70, 783,433.01 and 354,178.91

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Solution

The fourth proportional to 522,641.70, 783,433.01 and 354,178.91 is: 530,909.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,641.70 : 783,433.01 = 354,178.91 : x
  2. Step 2: Convert to fraction form
    522,641.70/783,433.01 = 354,178.91/x
  3. Step 3: Cross multiply
    522,641.70x = 783,433.01 × 354,178.91
  4. Step 4: Simplify right side
    522,641.70x = 277,475,452,383.85
  5. Step 5: Solve for x
    x = 277,475,452,383.85/522,641.70
  6. Step 6: Final answer
    x = 530,909.52

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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.