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Finding the Fourth Proportional to 610,415.80, 915,623.70 and 520,214.20

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Solution

The fourth proportional to 610,415.80, 915,623.70 and 520,214.20 is: 780,321.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,415.80 : 915,623.70 = 520,214.20 : x
  2. Step 2: Convert to fraction form
    610,415.80/915,623.70 = 520,214.20/x
  3. Step 3: Cross multiply
    610,415.80x = 915,623.70 × 520,214.20
  4. Step 4: Simplify right side
    610,415.80x = 476,320,450,596.54
  5. Step 5: Solve for x
    x = 476,320,450,596.54/610,415.80
  6. Step 6: Final answer
    x = 780,321.30

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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.