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Finding the Fourth Proportional to 350,564.64, 525,431.76 and 160,865.11

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Solution

The fourth proportional to 350,564.64, 525,431.76 and 160,865.11 is: 241,107.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,564.64 : 525,431.76 = 160,865.11 : x
  2. Step 2: Convert to fraction form
    350,564.64/525,431.76 = 160,865.11/x
  3. Step 3: Cross multiply
    350,564.64x = 525,431.76 × 160,865.11
  4. Step 4: Simplify right side
    350,564.64x = 84,523,637,869.89
  5. Step 5: Solve for x
    x = 84,523,637,869.89/350,564.64
  6. Step 6: Final answer
    x = 241,107.14

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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.