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Finding the Fourth Proportional to 519,141.50, 716,415.28 and 280,677.50

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Solution

The fourth proportional to 519,141.50, 716,415.28 and 280,677.50 is: 387,334.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,141.50 : 716,415.28 = 280,677.50 : x
  2. Step 2: Convert to fraction form
    519,141.50/716,415.28 = 280,677.50/x
  3. Step 3: Cross multiply
    519,141.50x = 716,415.28 × 280,677.50
  4. Step 4: Simplify right side
    519,141.50x = 201,081,649,752.20
  5. Step 5: Solve for x
    x = 201,081,649,752.20/519,141.50
  6. Step 6: Final answer
    x = 387,334.96

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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.