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Finding the Fourth Proportional to 596,553.12, 822,929.49 and 354,663.63

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Solution

The fourth proportional to 596,553.12, 822,929.49 and 354,663.63 is: 489,249.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,553.12 : 822,929.49 = 354,663.63 : x
  2. Step 2: Convert to fraction form
    596,553.12/822,929.49 = 354,663.63/x
  3. Step 3: Cross multiply
    596,553.12x = 822,929.49 × 354,663.63
  4. Step 4: Simplify right side
    596,553.12x = 291,863,160,157.45
  5. Step 5: Solve for x
    x = 291,863,160,157.45/596,553.12
  6. Step 6: Final answer
    x = 489,249.24

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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.