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Finding the Fourth Proportional to 541,877.40, 813,593.70 and 305,681.40

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Solution

The fourth proportional to 541,877.40, 813,593.70 and 305,681.40 is: 458,960.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,877.40 : 813,593.70 = 305,681.40 : x
  2. Step 2: Convert to fraction form
    541,877.40/813,593.70 = 305,681.40/x
  3. Step 3: Cross multiply
    541,877.40x = 813,593.70 × 305,681.40
  4. Step 4: Simplify right side
    541,877.40x = 248,700,461,247.18
  5. Step 5: Solve for x
    x = 248,700,461,247.18/541,877.40
  6. Step 6: Final answer
    x = 458,960.76

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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.