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Finding the Fourth Proportional to 297,750.51, 410,897.34 and 161,785.53

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Solution

The fourth proportional to 297,750.51, 410,897.34 and 161,785.53 is: 223,264.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,750.51 : 410,897.34 = 161,785.53 : x
  2. Step 2: Convert to fraction form
    297,750.51/410,897.34 = 161,785.53/x
  3. Step 3: Cross multiply
    297,750.51x = 410,897.34 × 161,785.53
  4. Step 4: Simplify right side
    297,750.51x = 66,477,243,927.49
  5. Step 5: Solve for x
    x = 66,477,243,927.49/297,750.51
  6. Step 6: Final answer
    x = 223,264.92

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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.