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Finding the Fourth Proportional to 417,264.16, 575,835.51 and 236,002.86

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Solution

The fourth proportional to 417,264.16, 575,835.51 and 236,002.86 is: 325,690.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,264.16 : 575,835.51 = 236,002.86 : x
  2. Step 2: Convert to fraction form
    417,264.16/575,835.51 = 236,002.86/x
  3. Step 3: Cross multiply
    417,264.16x = 575,835.51 × 236,002.86
  4. Step 4: Simplify right side
    417,264.16x = 135,898,827,249.56
  5. Step 5: Solve for x
    x = 135,898,827,249.56/417,264.16
  6. Step 6: Final answer
    x = 325,690.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.