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Finding the Fourth Proportional to 604,403.32, 906,292.95 and 177,883.74

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Solution

The fourth proportional to 604,403.32, 906,292.95 and 177,883.74 is: 266,733.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    604,403.32 : 906,292.95 = 177,883.74 : x
  2. Step 2: Convert to fraction form
    604,403.32/906,292.95 = 177,883.74/x
  3. Step 3: Cross multiply
    604,403.32x = 906,292.95 × 177,883.74
  4. Step 4: Simplify right side
    604,403.32x = 161,214,779,481.63
  5. Step 5: Solve for x
    x = 161,214,779,481.63/604,403.32
  6. Step 6: Final answer
    x = 266,733.78

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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.