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Finding the Fourth Proportional to 525,453, 725,125.98 and 299,098.52

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Solution

The fourth proportional to 525,453, 725,125.98 and 299,098.52 is: 412,756.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,453 : 725,125.98 = 299,098.52 : x
  2. Step 2: Convert to fraction form
    525,453/725,125.98 = 299,098.52/x
  3. Step 3: Cross multiply
    525,453x = 725,125.98 × 299,098.52
  4. Step 4: Simplify right side
    525,453x = 216,884,107,431.55
  5. Step 5: Solve for x
    x = 216,884,107,431.55/525,453
  6. Step 6: Final answer
    x = 412,756.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.