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Finding the Fourth Proportional to 597,052, 823,931.76 and 328,780

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Solution

The fourth proportional to 597,052, 823,931.76 and 328,780 is: 453,716.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,052 : 823,931.76 = 328,780 : x
  2. Step 2: Convert to fraction form
    597,052/823,931.76 = 328,780/x
  3. Step 3: Cross multiply
    597,052x = 823,931.76 × 328,780
  4. Step 4: Simplify right side
    597,052x = 270,892,284,052.80
  5. Step 5: Solve for x
    x = 270,892,284,052.80/597,052
  6. Step 6: Final answer
    x = 453,716.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.