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Finding the Fourth Proportional to 596,274.16, 823,071.98 and 354,555.98

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Solution

The fourth proportional to 596,274.16, 823,071.98 and 354,555.98 is: 489,414.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,274.16 : 823,071.98 = 354,555.98 : x
  2. Step 2: Convert to fraction form
    596,274.16/823,071.98 = 354,555.98/x
  3. Step 3: Cross multiply
    596,274.16x = 823,071.98 × 354,555.98
  4. Step 4: Simplify right side
    596,274.16x = 291,825,096,966.77
  5. Step 5: Solve for x
    x = 291,825,096,966.77/596,274.16
  6. Step 6: Final answer
    x = 489,414.29

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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.