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Finding the Fourth Proportional to 280,279.96, 386,794.50 and 152,963.74

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Solution

The fourth proportional to 280,279.96, 386,794.50 and 152,963.74 is: 211,094.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,279.96 : 386,794.50 = 152,963.74 : x
  2. Step 2: Convert to fraction form
    280,279.96/386,794.50 = 152,963.74/x
  3. Step 3: Cross multiply
    280,279.96x = 386,794.50 × 152,963.74
  4. Step 4: Simplify right side
    280,279.96x = 59,165,533,331.43
  5. Step 5: Solve for x
    x = 59,165,533,331.43/280,279.96
  6. Step 6: Final answer
    x = 211,094.41

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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.