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Finding the Fourth Proportional to 601,430.46, 829,938.42 and 329,444.34

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Solution

The fourth proportional to 601,430.46, 829,938.42 and 329,444.34 is: 454,613.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,430.46 : 829,938.42 = 329,444.34 : x
  2. Step 2: Convert to fraction form
    601,430.46/829,938.42 = 329,444.34/x
  3. Step 3: Cross multiply
    601,430.46x = 829,938.42 × 329,444.34
  4. Step 4: Simplify right side
    601,430.46x = 273,418,515,017.54
  5. Step 5: Solve for x
    x = 273,418,515,017.54/601,430.46
  6. Step 6: Final answer
    x = 454,613.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.