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Finding the Fourth Proportional to 584,047.40, 806,157.78 and 342,382.28

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Solution

The fourth proportional to 584,047.40, 806,157.78 and 342,382.28 is: 472,588.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,047.40 : 806,157.78 = 342,382.28 : x
  2. Step 2: Convert to fraction form
    584,047.40/806,157.78 = 342,382.28/x
  3. Step 3: Cross multiply
    584,047.40x = 806,157.78 × 342,382.28
  4. Step 4: Simplify right side
    584,047.40x = 276,014,138,756.14
  5. Step 5: Solve for x
    x = 276,014,138,756.14/584,047.40
  6. Step 6: Final answer
    x = 472,588.59

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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.