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Finding the Fourth Proportional to 301,088, 415,566.24 and 180,256.26

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Solution

The fourth proportional to 301,088, 415,566.24 and 180,256.26 is: 248,792.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,088 : 415,566.24 = 180,256.26 : x
  2. Step 2: Convert to fraction form
    301,088/415,566.24 = 180,256.26/x
  3. Step 3: Cross multiply
    301,088x = 415,566.24 × 180,256.26
  4. Step 4: Simplify right side
    301,088x = 74,908,416,204.66
  5. Step 5: Solve for x
    x = 74,908,416,204.66/301,088
  6. Step 6: Final answer
    x = 248,792.43

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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.