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Finding the Fourth Proportional to 610,465.80, 915,698.70 and 520,264.20

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Solution

The fourth proportional to 610,465.80, 915,698.70 and 520,264.20 is: 780,396.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,465.80 : 915,698.70 = 520,264.20 : x
  2. Step 2: Convert to fraction form
    610,465.80/915,698.70 = 520,264.20/x
  3. Step 3: Cross multiply
    610,465.80x = 915,698.70 × 520,264.20
  4. Step 4: Simplify right side
    610,465.80x = 476,405,251,596.54
  5. Step 5: Solve for x
    x = 476,405,251,596.54/610,465.80
  6. Step 6: Final answer
    x = 780,396.30

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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.