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Finding the Fourth Proportional to 580,381.49, 800,928.14 and 322,259.00

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Solution

The fourth proportional to 580,381.49, 800,928.14 and 322,259.00 is: 444,718.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,381.49 : 800,928.14 = 322,259.00 : x
  2. Step 2: Convert to fraction form
    580,381.49/800,928.14 = 322,259.00/x
  3. Step 3: Cross multiply
    580,381.49x = 800,928.14 × 322,259.00
  4. Step 4: Simplify right side
    580,381.49x = 258,106,295,852.32
  5. Step 5: Solve for x
    x = 258,106,295,852.32/580,381.49
  6. Step 6: Final answer
    x = 444,718.34

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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.