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Finding the Fourth Proportional to 285,533.40, 428,300.10 and 180,010.20

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Solution

The fourth proportional to 285,533.40, 428,300.10 and 180,010.20 is: 270,015.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,533.40 : 428,300.10 = 180,010.20 : x
  2. Step 2: Convert to fraction form
    285,533.40/428,300.10 = 180,010.20/x
  3. Step 3: Cross multiply
    285,533.40x = 428,300.10 × 180,010.20
  4. Step 4: Simplify right side
    285,533.40x = 77,098,386,661.02
  5. Step 5: Solve for x
    x = 77,098,386,661.02/285,533.40
  6. Step 6: Final answer
    x = 270,015.30

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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.