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Finding the Fourth Proportional to 524,881, 787,438.14 and 192,457

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Solution

The fourth proportional to 524,881, 787,438.14 and 192,457 is: 288,728.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,881 : 787,438.14 = 192,457 : x
  2. Step 2: Convert to fraction form
    524,881/787,438.14 = 192,457/x
  3. Step 3: Cross multiply
    524,881x = 787,438.14 × 192,457
  4. Step 4: Simplify right side
    524,881x = 151,547,982,109.98
  5. Step 5: Solve for x
    x = 151,547,982,109.98/524,881
  6. Step 6: Final answer
    x = 288,728.27

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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.