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Finding the Fourth Proportional to 171,316, 256,974 and 46,657

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Solution

The fourth proportional to 171,316, 256,974 and 46,657 is: 69,985.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,316 : 256,974 = 46,657 : x
  2. Step 2: Convert to fraction form
    171,316/256,974 = 46,657/x
  3. Step 3: Cross multiply
    171,316x = 256,974 × 46,657
  4. Step 4: Simplify right side
    171,316x = 11,989,635,918
  5. Step 5: Solve for x
    x = 11,989,635,918/171,316
  6. Step 6: Final answer
    x = 69,985.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.