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Finding the Fourth Proportional to 525,682.42, 788,512.29 and 146,593.06

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Solution

The fourth proportional to 525,682.42, 788,512.29 and 146,593.06 is: 219,886.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,682.42 : 788,512.29 = 146,593.06 : x
  2. Step 2: Convert to fraction form
    525,682.42/788,512.29 = 146,593.06/x
  3. Step 3: Cross multiply
    525,682.42x = 788,512.29 × 146,593.06
  4. Step 4: Simplify right side
    525,682.42x = 115,590,429,438.71
  5. Step 5: Solve for x
    x = 115,590,429,438.71/525,682.42
  6. Step 6: Final answer
    x = 219,886.43

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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.