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Finding the Fourth Proportional to 524,612.40, 785,104.20 and 314,401.20

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Solution

The fourth proportional to 524,612.40, 785,104.20 and 314,401.20 is: 470,514.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,612.40 : 785,104.20 = 314,401.20 : x
  2. Step 2: Convert to fraction form
    524,612.40/785,104.20 = 314,401.20/x
  3. Step 3: Cross multiply
    524,612.40x = 785,104.20 × 314,401.20
  4. Step 4: Simplify right side
    524,612.40x = 246,837,702,605.04
  5. Step 5: Solve for x
    x = 246,837,702,605.04/524,612.40
  6. Step 6: Final answer
    x = 470,514.43

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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.