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Finding the Fourth Proportional to 519,346.50, 716,698.35 and 280,882.50

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Solution

The fourth proportional to 519,346.50, 716,698.35 and 280,882.50 is: 387,617.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,346.50 : 716,698.35 = 280,882.50 : x
  2. Step 2: Convert to fraction form
    519,346.50/716,698.35 = 280,882.50/x
  3. Step 3: Cross multiply
    519,346.50x = 716,698.35 × 280,882.50
  4. Step 4: Simplify right side
    519,346.50x = 201,308,024,293.88
  5. Step 5: Solve for x
    x = 201,308,024,293.88/519,346.50
  6. Step 6: Final answer
    x = 387,617.95

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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.