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Finding the Fourth Proportional to 285,470.20, 428,075.70 and 107,918.20

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Solution

The fourth proportional to 285,470.20, 428,075.70 and 107,918.20 is: 161,828.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,470.20 : 428,075.70 = 107,918.20 : x
  2. Step 2: Convert to fraction form
    285,470.20/428,075.70 = 107,918.20/x
  3. Step 3: Cross multiply
    285,470.20x = 428,075.70 × 107,918.20
  4. Step 4: Simplify right side
    285,470.20x = 46,197,159,007.74
  5. Step 5: Solve for x
    x = 46,197,159,007.74/285,470.20
  6. Step 6: Final answer
    x = 161,828.31

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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.