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Finding the Fourth Proportional to 301,779.09, 454,474.01 and 274,875.34

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Solution

The fourth proportional to 301,779.09, 454,474.01 and 274,875.34 is: 413,957.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,779.09 : 454,474.01 = 274,875.34 : x
  2. Step 2: Convert to fraction form
    301,779.09/454,474.01 = 274,875.34/x
  3. Step 3: Cross multiply
    301,779.09x = 454,474.01 × 274,875.34
  4. Step 4: Simplify right side
    301,779.09x = 124,923,698,019.91
  5. Step 5: Solve for x
    x = 124,923,698,019.91/301,779.09
  6. Step 6: Final answer
    x = 413,957.43

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.