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Finding the Fourth Proportional to 510,827.08, 704,204.91 and 357,389.90

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Solution

The fourth proportional to 510,827.08, 704,204.91 and 357,389.90 is: 492,682.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,827.08 : 704,204.91 = 357,389.90 : x
  2. Step 2: Convert to fraction form
    510,827.08/704,204.91 = 357,389.90/x
  3. Step 3: Cross multiply
    510,827.08x = 704,204.91 × 357,389.90
  4. Step 4: Simplify right side
    510,827.08x = 251,675,722,364.41
  5. Step 5: Solve for x
    x = 251,675,722,364.41/510,827.08
  6. Step 6: Final answer
    x = 492,682.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.