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Finding the Fourth Proportional to 517,672.62, 776,637.72 and 411,457.32

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Solution

The fourth proportional to 517,672.62, 776,637.72 and 411,457.32 is: 617,288.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,672.62 : 776,637.72 = 411,457.32 : x
  2. Step 2: Convert to fraction form
    517,672.62/776,637.72 = 411,457.32/x
  3. Step 3: Cross multiply
    517,672.62x = 776,637.72 × 411,457.32
  4. Step 4: Simplify right side
    517,672.62x = 319,553,274,882.11
  5. Step 5: Solve for x
    x = 319,553,274,882.11/517,672.62
  6. Step 6: Final answer
    x = 617,288.35

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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.