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Finding the Fourth Proportional to 525,033.70, 787,713.98 and 188,077.24

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Solution

The fourth proportional to 525,033.70, 787,713.98 and 188,077.24 is: 282,174.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,033.70 : 787,713.98 = 188,077.24 : x
  2. Step 2: Convert to fraction form
    525,033.70/787,713.98 = 188,077.24/x
  3. Step 3: Cross multiply
    525,033.70x = 787,713.98 × 188,077.24
  4. Step 4: Simplify right side
    525,033.70x = 148,151,071,267.82
  5. Step 5: Solve for x
    x = 148,151,071,267.82/525,033.70
  6. Step 6: Final answer
    x = 282,174.40

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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.