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Finding the Fourth Proportional to 461,697.84, 637,116.50 and 257,761.68

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Solution

The fourth proportional to 461,697.84, 637,116.50 and 257,761.68 is: 355,696.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,697.84 : 637,116.50 = 257,761.68 : x
  2. Step 2: Convert to fraction form
    461,697.84/637,116.50 = 257,761.68/x
  3. Step 3: Cross multiply
    461,697.84x = 637,116.50 × 257,761.68
  4. Step 4: Simplify right side
    461,697.84x = 164,224,219,251.34
  5. Step 5: Solve for x
    x = 164,224,219,251.34/461,697.84
  6. Step 6: Final answer
    x = 355,696.32

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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.