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Finding the Fourth Proportional to 525,032.70, 787,712.48 and 188,076.24

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Solution

The fourth proportional to 525,032.70, 787,712.48 and 188,076.24 is: 282,172.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,032.70 : 787,712.48 = 188,076.24 : x
  2. Step 2: Convert to fraction form
    525,032.70/787,712.48 = 188,076.24/x
  3. Step 3: Cross multiply
    525,032.70x = 787,712.48 × 188,076.24
  4. Step 4: Simplify right side
    525,032.70x = 148,150,001,204.38
  5. Step 5: Solve for x
    x = 148,150,001,204.38/525,032.70
  6. Step 6: Final answer
    x = 282,172.91

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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.