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Finding the Fourth Proportional to 565,314.30, 847,971.93 and 210,282.30

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Solution

The fourth proportional to 565,314.30, 847,971.93 and 210,282.30 is: 315,423.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,314.30 : 847,971.93 = 210,282.30 : x
  2. Step 2: Convert to fraction form
    565,314.30/847,971.93 = 210,282.30/x
  3. Step 3: Cross multiply
    565,314.30x = 847,971.93 × 210,282.30
  4. Step 4: Simplify right side
    565,314.30x = 178,313,487,775.84
  5. Step 5: Solve for x
    x = 178,313,487,775.84/565,314.30
  6. Step 6: Final answer
    x = 315,423.63

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1.5x scale

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.