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Finding the Fourth Proportional to 594,356, 820,225.68 and 326,084

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Solution

The fourth proportional to 594,356, 820,225.68 and 326,084 is: 450,003.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,356 : 820,225.68 = 326,084 : x
  2. Step 2: Convert to fraction form
    594,356/820,225.68 = 326,084/x
  3. Step 3: Cross multiply
    594,356x = 820,225.68 × 326,084
  4. Step 4: Simplify right side
    594,356x = 267,462,470,637.12
  5. Step 5: Solve for x
    x = 267,462,470,637.12/594,356
  6. Step 6: Final answer
    x = 450,003.82

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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.