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Finding the Fourth Proportional to 514,165.02, 770,243.13 and 354,212.70

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Solution

The fourth proportional to 514,165.02, 770,243.13 and 354,212.70 is: 530,627.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,165.02 : 770,243.13 = 354,212.70 : x
  2. Step 2: Convert to fraction form
    514,165.02/770,243.13 = 354,212.70/x
  3. Step 3: Cross multiply
    514,165.02x = 770,243.13 × 354,212.70
  4. Step 4: Simplify right side
    514,165.02x = 272,829,898,733.75
  5. Step 5: Solve for x
    x = 272,829,898,733.75/514,165.02
  6. Step 6: Final answer
    x = 530,627.11

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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.