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Finding the Fourth Proportional to 524,851.14, 787,401.65 and 169,865.16

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Solution

The fourth proportional to 524,851.14, 787,401.65 and 169,865.16 is: 254,838.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,851.14 : 787,401.65 = 169,865.16 : x
  2. Step 2: Convert to fraction form
    524,851.14/787,401.65 = 169,865.16/x
  3. Step 3: Cross multiply
    524,851.14x = 787,401.65 × 169,865.16
  4. Step 4: Simplify right side
    524,851.14x = 133,752,106,412.19
  5. Step 5: Solve for x
    x = 133,752,106,412.19/524,851.14
  6. Step 6: Final answer
    x = 254,838.17

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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.