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Finding the Fourth Proportional to 522,614.63, 783,392.54 and 354,151.98

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Solution

The fourth proportional to 522,614.63, 783,392.54 and 354,151.98 is: 530,869.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,614.63 : 783,392.54 = 354,151.98 : x
  2. Step 2: Convert to fraction form
    522,614.63/783,392.54 = 354,151.98/x
  3. Step 3: Cross multiply
    522,614.63x = 783,392.54 × 354,151.98
  4. Step 4: Simplify right side
    522,614.63x = 277,440,017,387.47
  5. Step 5: Solve for x
    x = 277,440,017,387.47/522,614.63
  6. Step 6: Final answer
    x = 530,869.21

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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.