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Finding the Fourth Proportional to 516,435.94, 712,685.54 and 287,014.74

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Solution

The fourth proportional to 516,435.94, 712,685.54 and 287,014.74 is: 396,082.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,435.94 : 712,685.54 = 287,014.74 : x
  2. Step 2: Convert to fraction form
    516,435.94/712,685.54 = 287,014.74/x
  3. Step 3: Cross multiply
    516,435.94x = 712,685.54 × 287,014.74
  4. Step 4: Simplify right side
    516,435.94x = 204,551,254,420.64
  5. Step 5: Solve for x
    x = 204,551,254,420.64/516,435.94
  6. Step 6: Final answer
    x = 396,082.54

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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.