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Finding the Fourth Proportional to 596,294.84, 823,100.52 and 354,576.62

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Solution

The fourth proportional to 596,294.84, 823,100.52 and 354,576.62 is: 489,442.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,294.84 : 823,100.52 = 354,576.62 : x
  2. Step 2: Convert to fraction form
    596,294.84/823,100.52 = 354,576.62/x
  3. Step 3: Cross multiply
    596,294.84x = 823,100.52 × 354,576.62
  4. Step 4: Simplify right side
    596,294.84x = 291,852,196,186.34
  5. Step 5: Solve for x
    x = 291,852,196,186.34/596,294.84
  6. Step 6: Final answer
    x = 489,442.77

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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.