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Finding the Fourth Proportional to 368,123.42, 508,004.20 and 204,777.97

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Solution

The fourth proportional to 368,123.42, 508,004.20 and 204,777.97 is: 282,590.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,123.42 : 508,004.20 = 204,777.97 : x
  2. Step 2: Convert to fraction form
    368,123.42/508,004.20 = 204,777.97/x
  3. Step 3: Cross multiply
    368,123.42x = 508,004.20 × 204,777.97
  4. Step 4: Simplify right side
    368,123.42x = 104,028,069,639.18
  5. Step 5: Solve for x
    x = 104,028,069,639.18/368,123.42
  6. Step 6: Final answer
    x = 282,590.20

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1.5x scale

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.