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Finding the Fourth Proportional to 471,353.02, 707,140.23 and 155,809.92

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Solution

The fourth proportional to 471,353.02, 707,140.23 and 155,809.92 is: 233,751.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,353.02 : 707,140.23 = 155,809.92 : x
  2. Step 2: Convert to fraction form
    471,353.02/707,140.23 = 155,809.92/x
  3. Step 3: Cross multiply
    471,353.02x = 707,140.23 × 155,809.92
  4. Step 4: Simplify right side
    471,353.02x = 110,179,459,129.38
  5. Step 5: Solve for x
    x = 110,179,459,129.38/471,353.02
  6. Step 6: Final answer
    x = 233,751.47

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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.