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Finding the Fourth Proportional to 651,871.20, 978,382.80 and 385,298.40

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Solution

The fourth proportional to 651,871.20, 978,382.80 and 385,298.40 is: 578,288.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,871.20 : 978,382.80 = 385,298.40 : x
  2. Step 2: Convert to fraction form
    651,871.20/978,382.80 = 385,298.40/x
  3. Step 3: Cross multiply
    651,871.20x = 978,382.80 × 385,298.40
  4. Step 4: Simplify right side
    651,871.20x = 376,969,327,427.52
  5. Step 5: Solve for x
    x = 376,969,327,427.52/651,871.20
  6. Step 6: Final answer
    x = 578,288.05

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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.