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Finding the Fourth Proportional to 596,068.54, 822,596.21 and 341,468.93

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Solution

The fourth proportional to 596,068.54, 822,596.21 and 341,468.93 is: 471,239.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,068.54 : 822,596.21 = 341,468.93 : x
  2. Step 2: Convert to fraction form
    596,068.54/822,596.21 = 341,468.93/x
  3. Step 3: Cross multiply
    596,068.54x = 822,596.21 × 341,468.93
  4. Step 4: Simplify right side
    596,068.54x = 280,891,049,280.41
  5. Step 5: Solve for x
    x = 280,891,049,280.41/596,068.54
  6. Step 6: Final answer
    x = 471,239.52

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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.