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Finding the Fourth Proportional to 382,521.60, 573,782.40 and 314,870.40

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Solution

The fourth proportional to 382,521.60, 573,782.40 and 314,870.40 is: 472,305.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,521.60 : 573,782.40 = 314,870.40 : x
  2. Step 2: Convert to fraction form
    382,521.60/573,782.40 = 314,870.40/x
  3. Step 3: Cross multiply
    382,521.60x = 573,782.40 × 314,870.40
  4. Step 4: Simplify right side
    382,521.60x = 180,667,093,800.96
  5. Step 5: Solve for x
    x = 180,667,093,800.96/382,521.60
  6. Step 6: Final answer
    x = 472,305.60

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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.