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Finding the Fourth Proportional to 542,752.84, 813,963.42 and 375,349

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Solution

The fourth proportional to 542,752.84, 813,963.42 and 375,349 is: 562,908.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,752.84 : 813,963.42 = 375,349 : x
  2. Step 2: Convert to fraction form
    542,752.84/813,963.42 = 375,349/x
  3. Step 3: Cross multiply
    542,752.84x = 813,963.42 × 375,349
  4. Step 4: Simplify right side
    542,752.84x = 305,520,355,733.58
  5. Step 5: Solve for x
    x = 305,520,355,733.58/542,752.84
  6. Step 6: Final answer
    x = 562,908.81

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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.