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Finding the Fourth Proportional to 405,384.20, 608,021.10 and 105,888.20

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Solution

The fourth proportional to 405,384.20, 608,021.10 and 105,888.20 is: 158,817.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,384.20 : 608,021.10 = 105,888.20 : x
  2. Step 2: Convert to fraction form
    405,384.20/608,021.10 = 105,888.20/x
  3. Step 3: Cross multiply
    405,384.20x = 608,021.10 × 105,888.20
  4. Step 4: Simplify right side
    405,384.20x = 64,382,259,841.02
  5. Step 5: Solve for x
    x = 64,382,259,841.02/405,384.20
  6. Step 6: Final answer
    x = 158,817.88

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.