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Finding the Fourth Proportional to 300,503.40, 414,681.84 and 164,534.88

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Solution

The fourth proportional to 300,503.40, 414,681.84 and 164,534.88 is: 227,051.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,503.40 : 414,681.84 = 164,534.88 : x
  2. Step 2: Convert to fraction form
    300,503.40/414,681.84 = 164,534.88/x
  3. Step 3: Cross multiply
    300,503.40x = 414,681.84 × 164,534.88
  4. Step 4: Simplify right side
    300,503.40x = 68,229,626,782.58
  5. Step 5: Solve for x
    x = 68,229,626,782.58/300,503.40
  6. Step 6: Final answer
    x = 227,051.10

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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.