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Finding the Fourth Proportional to 595,382.30, 821,608.62 and 340,728.02

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Solution

The fourth proportional to 595,382.30, 821,608.62 and 340,728.02 is: 470,193.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,382.30 : 821,608.62 = 340,728.02 : x
  2. Step 2: Convert to fraction form
    595,382.30/821,608.62 = 340,728.02/x
  3. Step 3: Cross multiply
    595,382.30x = 821,608.62 × 340,728.02
  4. Step 4: Simplify right side
    595,382.30x = 279,945,078,307.53
  5. Step 5: Solve for x
    x = 279,945,078,307.53/595,382.30
  6. Step 6: Final answer
    x = 470,193.82

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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.