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Finding the Fourth Proportional to 601,965, 830,706.12 and 330,048

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Solution

The fourth proportional to 601,965, 830,706.12 and 330,048 is: 455,463.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,965 : 830,706.12 = 330,048 : x
  2. Step 2: Convert to fraction form
    601,965/830,706.12 = 330,048/x
  3. Step 3: Cross multiply
    601,965x = 830,706.12 × 330,048
  4. Step 4: Simplify right side
    601,965x = 274,172,893,493.76
  5. Step 5: Solve for x
    x = 274,172,893,493.76/601,965
  6. Step 6: Final answer
    x = 455,463.18

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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.