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Finding the Fourth Proportional to 596,307.60, 822,926.46 and 341,708

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Solution

The fourth proportional to 596,307.60, 822,926.46 and 341,708 is: 471,569.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,307.60 : 822,926.46 = 341,708 : x
  2. Step 2: Convert to fraction form
    596,307.60/822,926.46 = 341,708/x
  3. Step 3: Cross multiply
    596,307.60x = 822,926.46 × 341,708
  4. Step 4: Simplify right side
    596,307.60x = 281,200,554,793.68
  5. Step 5: Solve for x
    x = 281,200,554,793.68/596,307.60
  6. Step 6: Final answer
    x = 471,569.63

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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.