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Finding the Fourth Proportional to 517,680.23, 776,649.13 and 411,464.93

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Solution

The fourth proportional to 517,680.23, 776,649.13 and 411,464.93 is: 617,299.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,680.23 : 776,649.13 = 411,464.93 : x
  2. Step 2: Convert to fraction form
    517,680.23/776,649.13 = 411,464.93/x
  3. Step 3: Cross multiply
    517,680.23x = 776,649.13 × 411,464.93
  4. Step 4: Simplify right side
    517,680.23x = 319,563,874,998.10
  5. Step 5: Solve for x
    x = 319,563,874,998.10/517,680.23
  6. Step 6: Final answer
    x = 617,299.75

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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.