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Finding the Fourth Proportional to 471,509.16, 707,256.81 and 116,523.18

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Solution

The fourth proportional to 471,509.16, 707,256.81 and 116,523.18 is: 174,783.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,509.16 : 707,256.81 = 116,523.18 : x
  2. Step 2: Convert to fraction form
    471,509.16/707,256.81 = 116,523.18/x
  3. Step 3: Cross multiply
    471,509.16x = 707,256.81 × 116,523.18
  4. Step 4: Simplify right side
    471,509.16x = 82,411,812,577.86
  5. Step 5: Solve for x
    x = 82,411,812,577.86/471,509.16
  6. Step 6: Final answer
    x = 174,783.06

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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.