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Finding the Fourth Proportional to 596,530.96, 822,940.48 and 354,675.90

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Solution

The fourth proportional to 596,530.96, 822,940.48 and 354,675.90 is: 489,290.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,530.96 : 822,940.48 = 354,675.90 : x
  2. Step 2: Convert to fraction form
    596,530.96/822,940.48 = 354,675.90/x
  3. Step 3: Cross multiply
    596,530.96x = 822,940.48 × 354,675.90
  4. Step 4: Simplify right side
    596,530.96x = 291,877,155,390.43
  5. Step 5: Solve for x
    x = 291,877,155,390.43/596,530.96
  6. Step 6: Final answer
    x = 489,290.88

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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.