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Finding the Fourth Proportional to 580,108.64, 800,598.15 and 322,009.84

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Solution

The fourth proportional to 580,108.64, 800,598.15 and 322,009.84 is: 444,400.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,108.64 : 800,598.15 = 322,009.84 : x
  2. Step 2: Convert to fraction form
    580,108.64/800,598.15 = 322,009.84/x
  3. Step 3: Cross multiply
    580,108.64x = 800,598.15 × 322,009.84
  4. Step 4: Simplify right side
    580,108.64x = 257,800,480,184.30
  5. Step 5: Solve for x
    x = 257,800,480,184.30/580,108.64
  6. Step 6: Final answer
    x = 444,400.34

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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.