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Finding the Fourth Proportional to 302,085.40, 416,871.08 and 164,261.32

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Solution

The fourth proportional to 302,085.40, 416,871.08 and 164,261.32 is: 226,676.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,085.40 : 416,871.08 = 164,261.32 : x
  2. Step 2: Convert to fraction form
    302,085.40/416,871.08 = 164,261.32/x
  3. Step 3: Cross multiply
    302,085.40x = 416,871.08 × 164,261.32
  4. Step 4: Simplify right side
    302,085.40x = 68,475,793,870.63
  5. Step 5: Solve for x
    x = 68,475,793,870.63/302,085.40
  6. Step 6: Final answer
    x = 226,676.94

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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.