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Finding the Fourth Proportional to 525,676.80, 788,428.92 and 146,623.32

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Solution

The fourth proportional to 525,676.80, 788,428.92 and 146,623.32 is: 219,910.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,676.80 : 788,428.92 = 146,623.32 : x
  2. Step 2: Convert to fraction form
    525,676.80/788,428.92 = 146,623.32/x
  3. Step 3: Cross multiply
    525,676.80x = 788,428.92 × 146,623.32
  4. Step 4: Simplify right side
    525,676.80x = 115,602,065,834.41
  5. Step 5: Solve for x
    x = 115,602,065,834.41/525,676.80
  6. Step 6: Final answer
    x = 219,910.91

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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.