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Finding the Fourth Proportional to 374,670.96, 517,037.76 and 204,904.80

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Solution

The fourth proportional to 374,670.96, 517,037.76 and 204,904.80 is: 282,764.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,670.96 : 517,037.76 = 204,904.80 : x
  2. Step 2: Convert to fraction form
    374,670.96/517,037.76 = 204,904.80/x
  3. Step 3: Cross multiply
    374,670.96x = 517,037.76 × 204,904.80
  4. Step 4: Simplify right side
    374,670.96x = 105,943,518,805.25
  5. Step 5: Solve for x
    x = 105,943,518,805.25/374,670.96
  6. Step 6: Final answer
    x = 282,764.16

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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.