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Finding the Fourth Proportional to 514,130.52, 770,191.38 and 354,178.20

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Solution

The fourth proportional to 514,130.52, 770,191.38 and 354,178.20 is: 530,575.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,130.52 : 770,191.38 = 354,178.20 : x
  2. Step 2: Convert to fraction form
    514,130.52/770,191.38 = 354,178.20/x
  3. Step 3: Cross multiply
    514,130.52x = 770,191.38 × 354,178.20
  4. Step 4: Simplify right side
    514,130.52x = 272,784,996,623.92
  5. Step 5: Solve for x
    x = 272,784,996,623.92/514,130.52
  6. Step 6: Final answer
    x = 530,575.38

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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.