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Finding the Fourth Proportional to 357,851, 493,781 and 204,865.04

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Solution

The fourth proportional to 357,851, 493,781 and 204,865.04 is: 282,683.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,851 : 493,781 = 204,865.04 : x
  2. Step 2: Convert to fraction form
    357,851/493,781 = 204,865.04/x
  3. Step 3: Cross multiply
    357,851x = 493,781 × 204,865.04
  4. Step 4: Simplify right side
    357,851x = 101,158,464,316.24
  5. Step 5: Solve for x
    x = 101,158,464,316.24/357,851
  6. Step 6: Final answer
    x = 282,683.20

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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.