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Finding the Fourth Proportional to 357,407.52, 493,261.74 and 204,459.81

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Solution

The fourth proportional to 357,407.52, 493,261.74 and 204,459.81 is: 282,177.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,407.52 : 493,261.74 = 204,459.81 : x
  2. Step 2: Convert to fraction form
    357,407.52/493,261.74 = 204,459.81/x
  3. Step 3: Cross multiply
    357,407.52x = 493,261.74 × 204,459.81
  4. Step 4: Simplify right side
    357,407.52x = 100,852,201,640.67
  5. Step 5: Solve for x
    x = 100,852,201,640.67/357,407.52
  6. Step 6: Final answer
    x = 282,177.06

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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.