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Finding the Fourth Proportional to 602,193.66, 830,790.18 and 347,495.64

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Solution

The fourth proportional to 602,193.66, 830,790.18 and 347,495.64 is: 479,407.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,193.66 : 830,790.18 = 347,495.64 : x
  2. Step 2: Convert to fraction form
    602,193.66/830,790.18 = 347,495.64/x
  3. Step 3: Cross multiply
    602,193.66x = 830,790.18 × 347,495.64
  4. Step 4: Simplify right side
    602,193.66x = 288,695,965,304.82
  5. Step 5: Solve for x
    x = 288,695,965,304.82/602,193.66
  6. Step 6: Final answer
    x = 479,407.18

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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.