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Finding the Fourth Proportional to 510,905.16, 705,070.92 and 284,550.68

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Solution

The fourth proportional to 510,905.16, 705,070.92 and 284,550.68 is: 392,692.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,905.16 : 705,070.92 = 284,550.68 : x
  2. Step 2: Convert to fraction form
    510,905.16/705,070.92 = 284,550.68/x
  3. Step 3: Cross multiply
    510,905.16x = 705,070.92 × 284,550.68
  4. Step 4: Simplify right side
    510,905.16x = 200,628,409,734.23
  5. Step 5: Solve for x
    x = 200,628,409,734.23/510,905.16
  6. Step 6: Final answer
    x = 392,692.08

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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.