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Finding the Fourth Proportional to 525,646.06, 788,382.82 and 146,592.48

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Solution

The fourth proportional to 525,646.06, 788,382.82 and 146,592.48 is: 219,864.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,646.06 : 788,382.82 = 146,592.48 : x
  2. Step 2: Convert to fraction form
    525,646.06/788,382.82 = 146,592.48/x
  3. Step 3: Cross multiply
    525,646.06x = 788,382.82 × 146,592.48
  4. Step 4: Simplify right side
    525,646.06x = 115,570,995,912.87
  5. Step 5: Solve for x
    x = 115,570,995,912.87/525,646.06
  6. Step 6: Final answer
    x = 219,864.67

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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.