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Finding the Fourth Proportional to 519,990.32, 716,892.72 and 412,914.80

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Solution

The fourth proportional to 519,990.32, 716,892.72 and 412,914.80 is: 569,271.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,990.32 : 716,892.72 = 412,914.80 : x
  2. Step 2: Convert to fraction form
    519,990.32/716,892.72 = 412,914.80/x
  3. Step 3: Cross multiply
    519,990.32x = 716,892.72 × 412,914.80
  4. Step 4: Simplify right side
    519,990.32x = 296,015,614,100.26
  5. Step 5: Solve for x
    x = 296,015,614,100.26/519,990.32
  6. Step 6: Final answer
    x = 569,271.39

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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.