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Finding the Fourth Proportional to 507,264.19, 700,046.58 and 280,909.69

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Solution

The fourth proportional to 507,264.19, 700,046.58 and 280,909.69 is: 387,667.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,264.19 : 700,046.58 = 280,909.69 : x
  2. Step 2: Convert to fraction form
    507,264.19/700,046.58 = 280,909.69/x
  3. Step 3: Cross multiply
    507,264.19x = 700,046.58 × 280,909.69
  4. Step 4: Simplify right side
    507,264.19x = 196,649,867,076.66
  5. Step 5: Solve for x
    x = 196,649,867,076.66/507,264.19
  6. Step 6: Final answer
    x = 387,667.55

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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.