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Finding the Fourth Proportional to 520,064.20, 778,541.10 and 309,593.80

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Solution

The fourth proportional to 520,064.20, 778,541.10 and 309,593.80 is: 463,464.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,064.20 : 778,541.10 = 309,593.80 : x
  2. Step 2: Convert to fraction form
    520,064.20/778,541.10 = 309,593.80/x
  3. Step 3: Cross multiply
    520,064.20x = 778,541.10 × 309,593.80
  4. Step 4: Simplify right side
    520,064.20x = 241,031,497,605.18
  5. Step 5: Solve for x
    x = 241,031,497,605.18/520,064.20
  6. Step 6: Final answer
    x = 463,464.89

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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.