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Finding the Fourth Proportional to 520,264.32, 780,396.78 and 146,287.32

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Solution

The fourth proportional to 520,264.32, 780,396.78 and 146,287.32 is: 219,431.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,264.32 : 780,396.78 = 146,287.32 : x
  2. Step 2: Convert to fraction form
    520,264.32/780,396.78 = 146,287.32/x
  3. Step 3: Cross multiply
    520,264.32x = 780,396.78 × 146,287.32
  4. Step 4: Simplify right side
    520,264.32x = 114,162,153,482.83
  5. Step 5: Solve for x
    x = 114,162,153,482.83/520,264.32
  6. Step 6: Final answer
    x = 219,431.06

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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.