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Finding the Fourth Proportional to 461,707, 637,194.54 and 260,541.88

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Solution

The fourth proportional to 461,707, 637,194.54 and 260,541.88 is: 359,569.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,707 : 637,194.54 = 260,541.88 : x
  2. Step 2: Convert to fraction form
    461,707/637,194.54 = 260,541.88/x
  3. Step 3: Cross multiply
    461,707x = 637,194.54 × 260,541.88
  4. Step 4: Simplify right side
    461,707x = 166,015,863,377.34
  5. Step 5: Solve for x
    x = 166,015,863,377.34/461,707
  6. Step 6: Final answer
    x = 359,569.73

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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.