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Finding the Fourth Proportional to 802,312.34, 1,107,313.02 and 512,049.14

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Solution

The fourth proportional to 802,312.34, 1,107,313.02 and 512,049.14 is: 706,705.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,312.34 : 1,107,313.02 = 512,049.14 : x
  2. Step 2: Convert to fraction form
    802,312.34/1,107,313.02 = 512,049.14/x
  3. Step 3: Cross multiply
    802,312.34x = 1,107,313.02 × 512,049.14
  4. Step 4: Simplify right side
    802,312.34x = 566,998,679,601.80
  5. Step 5: Solve for x
    x = 566,998,679,601.80/802,312.34
  6. Step 6: Final answer
    x = 706,705.67

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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.