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Finding the Fourth Proportional to 461,640.33, 692,459.85 and 256,605.32

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Solution

The fourth proportional to 461,640.33, 692,459.85 and 256,605.32 is: 384,907.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,640.33 : 692,459.85 = 256,605.32 : x
  2. Step 2: Convert to fraction form
    461,640.33/692,459.85 = 256,605.32/x
  3. Step 3: Cross multiply
    461,640.33x = 692,459.85 × 256,605.32
  4. Step 4: Simplify right side
    461,640.33x = 177,688,881,844.53
  5. Step 5: Solve for x
    x = 177,688,881,844.53/461,640.33
  6. Step 6: Final answer
    x = 384,907.62

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1.5x scale

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.