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Finding the Fourth Proportional to 594,946, 821,025.48 and 326,674

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Solution

The fourth proportional to 594,946, 821,025.48 and 326,674 is: 450,810.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,946 : 821,025.48 = 326,674 : x
  2. Step 2: Convert to fraction form
    594,946/821,025.48 = 326,674/x
  3. Step 3: Cross multiply
    594,946x = 821,025.48 × 326,674
  4. Step 4: Simplify right side
    594,946x = 268,207,677,653.52
  5. Step 5: Solve for x
    x = 268,207,677,653.52/594,946
  6. Step 6: Final answer
    x = 450,810.12

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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.