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Finding the Fourth Proportional to 525,349.44, 788,024.74 and 146,271

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Solution

The fourth proportional to 525,349.44, 788,024.74 and 146,271 is: 219,406.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,349.44 : 788,024.74 = 146,271 : x
  2. Step 2: Convert to fraction form
    525,349.44/788,024.74 = 146,271/x
  3. Step 3: Cross multiply
    525,349.44x = 788,024.74 × 146,271
  4. Step 4: Simplify right side
    525,349.44x = 115,265,166,744.54
  5. Step 5: Solve for x
    x = 115,265,166,744.54/525,349.44
  6. Step 6: Final answer
    x = 219,406.66

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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.