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Finding the Fourth Proportional to 517,501.40, 776,252.10 and 434,832.80

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Solution

The fourth proportional to 517,501.40, 776,252.10 and 434,832.80 is: 652,249.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,501.40 : 776,252.10 = 434,832.80 : x
  2. Step 2: Convert to fraction form
    517,501.40/776,252.10 = 434,832.80/x
  3. Step 3: Cross multiply
    517,501.40x = 776,252.10 × 434,832.80
  4. Step 4: Simplify right side
    517,501.40x = 337,539,874,148.88
  5. Step 5: Solve for x
    x = 337,539,874,148.88/517,501.40
  6. Step 6: Final answer
    x = 652,249.20

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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.