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Finding the Fourth Proportional to 565,217.64, 780,000.17 and 310,585.23

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Solution

The fourth proportional to 565,217.64, 780,000.17 and 310,585.23 is: 428,607.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,217.64 : 780,000.17 = 310,585.23 : x
  2. Step 2: Convert to fraction form
    565,217.64/780,000.17 = 310,585.23/x
  3. Step 3: Cross multiply
    565,217.64x = 780,000.17 × 310,585.23
  4. Step 4: Simplify right side
    565,217.64x = 242,256,530,646.56
  5. Step 5: Solve for x
    x = 242,256,530,646.56/565,217.64
  6. Step 6: Final answer
    x = 428,607.52

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.