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Finding the Fourth Proportional to 562,855.38, 776,857.74 and 517,461.46

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Solution

The fourth proportional to 562,855.38, 776,857.74 and 517,461.46 is: 714,204.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,855.38 : 776,857.74 = 517,461.46 : x
  2. Step 2: Convert to fraction form
    562,855.38/776,857.74 = 517,461.46/x
  3. Step 3: Cross multiply
    562,855.38x = 776,857.74 × 517,461.46
  4. Step 4: Simplify right side
    562,855.38x = 401,993,940,352.70
  5. Step 5: Solve for x
    x = 401,993,940,352.70/562,855.38
  6. Step 6: Final answer
    x = 714,204.67

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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.