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Finding the Fourth Proportional to 354,931.40, 532,397.10 and 327,897.80

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Solution

The fourth proportional to 354,931.40, 532,397.10 and 327,897.80 is: 491,846.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,931.40 : 532,397.10 = 327,897.80 : x
  2. Step 2: Convert to fraction form
    354,931.40/532,397.10 = 327,897.80/x
  3. Step 3: Cross multiply
    354,931.40x = 532,397.10 × 327,897.80
  4. Step 4: Simplify right side
    354,931.40x = 174,571,837,816.38
  5. Step 5: Solve for x
    x = 174,571,837,816.38/354,931.40
  6. Step 6: Final answer
    x = 491,846.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.