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Finding the Fourth Proportional to 596,323, 822,925.74 and 328,051

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Solution

The fourth proportional to 596,323, 822,925.74 and 328,051 is: 452,710.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,323 : 822,925.74 = 328,051 : x
  2. Step 2: Convert to fraction form
    596,323/822,925.74 = 328,051/x
  3. Step 3: Cross multiply
    596,323x = 822,925.74 × 328,051
  4. Step 4: Simplify right side
    596,323x = 269,961,611,932.74
  5. Step 5: Solve for x
    x = 269,961,611,932.74/596,323
  6. Step 6: Final answer
    x = 452,710.38

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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.