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Finding the Fourth Proportional to 610,598.70, 915,748.74 and 477,147.96

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Solution

The fourth proportional to 610,598.70, 915,748.74 and 477,147.96 is: 715,605.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,598.70 : 915,748.74 = 477,147.96 : x
  2. Step 2: Convert to fraction form
    610,598.70/915,748.74 = 477,147.96/x
  3. Step 3: Cross multiply
    610,598.70x = 915,748.74 × 477,147.96
  4. Step 4: Simplify right side
    610,598.70x = 436,947,643,163.57
  5. Step 5: Solve for x
    x = 436,947,643,163.57/610,598.70
  6. Step 6: Final answer
    x = 715,605.26

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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.