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Finding the Fourth Proportional to 292,214.40, 403,254.40 and 164,889.60

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Solution

The fourth proportional to 292,214.40, 403,254.40 and 164,889.60 is: 227,546.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,214.40 : 403,254.40 = 164,889.60 : x
  2. Step 2: Convert to fraction form
    292,214.40/403,254.40 = 164,889.60/x
  3. Step 3: Cross multiply
    292,214.40x = 403,254.40 × 164,889.60
  4. Step 4: Simplify right side
    292,214.40x = 66,492,456,714.24
  5. Step 5: Solve for x
    x = 66,492,456,714.24/292,214.40
  6. Step 6: Final answer
    x = 227,546.82

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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.