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Finding the Fourth Proportional to 471,346.83, 707,130.99 and 155,803.74

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Solution

The fourth proportional to 471,346.83, 707,130.99 and 155,803.74 is: 233,742.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,346.83 : 707,130.99 = 155,803.74 : x
  2. Step 2: Convert to fraction form
    471,346.83/707,130.99 = 155,803.74/x
  3. Step 3: Cross multiply
    471,346.83x = 707,130.99 × 155,803.74
  4. Step 4: Simplify right side
    471,346.83x = 110,173,652,911.90
  5. Step 5: Solve for x
    x = 110,173,652,911.90/471,346.83
  6. Step 6: Final answer
    x = 233,742.22

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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.