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Finding the Fourth Proportional to 602,038.30, 830,820.87 and 330,105.49

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Solution

The fourth proportional to 602,038.30, 830,820.87 and 330,105.49 is: 455,549.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,038.30 : 830,820.87 = 330,105.49 : x
  2. Step 2: Convert to fraction form
    602,038.30/830,820.87 = 330,105.49/x
  3. Step 3: Cross multiply
    602,038.30x = 830,820.87 × 330,105.49
  4. Step 4: Simplify right side
    602,038.30x = 274,258,530,393.58
  5. Step 5: Solve for x
    x = 274,258,530,393.58/602,038.30
  6. Step 6: Final answer
    x = 455,549.97

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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.