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Finding the Fourth Proportional to 514,174.02, 770,256.63 and 354,221.70

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Solution

The fourth proportional to 514,174.02, 770,256.63 and 354,221.70 is: 530,640.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,174.02 : 770,256.63 = 354,221.70 : x
  2. Step 2: Convert to fraction form
    514,174.02/770,256.63 = 354,221.70/x
  3. Step 3: Cross multiply
    514,174.02x = 770,256.63 × 354,221.70
  4. Step 4: Simplify right side
    514,174.02x = 272,841,612,914.87
  5. Step 5: Solve for x
    x = 272,841,612,914.87/514,174.02
  6. Step 6: Final answer
    x = 530,640.60

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1.5x scale

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.