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Finding the Fourth Proportional to 376,681.43, 565,019.07 and 152,038.41

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Solution

The fourth proportional to 376,681.43, 565,019.07 and 152,038.41 is: 228,056.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,681.43 : 565,019.07 = 152,038.41 : x
  2. Step 2: Convert to fraction form
    376,681.43/565,019.07 = 152,038.41/x
  3. Step 3: Cross multiply
    376,681.43x = 565,019.07 × 152,038.41
  4. Step 4: Simplify right side
    376,681.43x = 85,904,601,022.48
  5. Step 5: Solve for x
    x = 85,904,601,022.48/376,681.43
  6. Step 6: Final answer
    x = 228,056.38

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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.