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Finding the Fourth Proportional to 256,505.84, 353,794.44 and 180,042.04

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Solution

The fourth proportional to 256,505.84, 353,794.44 and 180,042.04 is: 248,329.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,505.84 : 353,794.44 = 180,042.04 : x
  2. Step 2: Convert to fraction form
    256,505.84/353,794.44 = 180,042.04/x
  3. Step 3: Cross multiply
    256,505.84x = 353,794.44 × 180,042.04
  4. Step 4: Simplify right side
    256,505.84x = 63,697,872,718.26
  5. Step 5: Solve for x
    x = 63,697,872,718.26/256,505.84
  6. Step 6: Final answer
    x = 248,329.13

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.