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Finding the Fourth Proportional to 473,518.22, 653,670.27 and 301,671.86

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Solution

The fourth proportional to 473,518.22, 653,670.27 and 301,671.86 is: 416,444.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,518.22 : 653,670.27 = 301,671.86 : x
  2. Step 2: Convert to fraction form
    473,518.22/653,670.27 = 301,671.86/x
  3. Step 3: Cross multiply
    473,518.22x = 653,670.27 × 301,671.86
  4. Step 4: Simplify right side
    473,518.22x = 197,193,922,909.25
  5. Step 5: Solve for x
    x = 197,193,922,909.25/473,518.22
  6. Step 6: Final answer
    x = 416,444.21

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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.