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Finding the Fourth Proportional to 384,700.70, 578,035.20 and 341,398.10

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Solution

The fourth proportional to 384,700.70, 578,035.20 and 341,398.10 is: 512,970.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,700.70 : 578,035.20 = 341,398.10 : x
  2. Step 2: Convert to fraction form
    384,700.70/578,035.20 = 341,398.10/x
  3. Step 3: Cross multiply
    384,700.70x = 578,035.20 × 341,398.10
  4. Step 4: Simplify right side
    384,700.70x = 197,340,119,013.12
  5. Step 5: Solve for x
    x = 197,340,119,013.12/384,700.70
  6. Step 6: Final answer
    x = 512,970.52

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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.