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Finding the Fourth Proportional to 596,146.39, 822,893.25 and 354,427.72

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Solution

The fourth proportional to 596,146.39, 822,893.25 and 354,427.72 is: 489,235.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,146.39 : 822,893.25 = 354,427.72 : x
  2. Step 2: Convert to fraction form
    596,146.39/822,893.25 = 354,427.72/x
  3. Step 3: Cross multiply
    596,146.39x = 822,893.25 × 354,427.72
  4. Step 4: Simplify right side
    596,146.39x = 291,656,178,400.89
  5. Step 5: Solve for x
    x = 291,656,178,400.89/596,146.39
  6. Step 6: Final answer
    x = 489,235.84

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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.