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Finding the Fourth Proportional to 525,678.28, 788,506.11 and 146,588.92

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Solution

The fourth proportional to 525,678.28, 788,506.11 and 146,588.92 is: 219,880.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,678.28 : 788,506.11 = 146,588.92 : x
  2. Step 2: Convert to fraction form
    525,678.28/788,506.11 = 146,588.92/x
  3. Step 3: Cross multiply
    525,678.28x = 788,506.11 × 146,588.92
  4. Step 4: Simplify right side
    525,678.28x = 115,586,259,078.30
  5. Step 5: Solve for x
    x = 115,586,259,078.30/525,678.28
  6. Step 6: Final answer
    x = 219,880.23

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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.