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Finding the Fourth Proportional to 533,444.16, 800,296.80 and 375,980.16

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Solution

The fourth proportional to 533,444.16, 800,296.80 and 375,980.16 is: 564,062.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,444.16 : 800,296.80 = 375,980.16 : x
  2. Step 2: Convert to fraction form
    533,444.16/800,296.80 = 375,980.16/x
  3. Step 3: Cross multiply
    533,444.16x = 800,296.80 × 375,980.16
  4. Step 4: Simplify right side
    533,444.16x = 300,895,718,911.49
  5. Step 5: Solve for x
    x = 300,895,718,911.49/533,444.16
  6. Step 6: Final answer
    x = 564,062.26

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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.