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Finding the Fourth Proportional to 525,392.37, 787,806.67 and 165,496

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Solution

The fourth proportional to 525,392.37, 787,806.67 and 165,496 is: 248,155.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,392.37 : 787,806.67 = 165,496 : x
  2. Step 2: Convert to fraction form
    525,392.37/787,806.67 = 165,496/x
  3. Step 3: Cross multiply
    525,392.37x = 787,806.67 × 165,496
  4. Step 4: Simplify right side
    525,392.37x = 130,378,852,658.32
  5. Step 5: Solve for x
    x = 130,378,852,658.32/525,392.37
  6. Step 6: Final answer
    x = 248,155.21

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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.