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Finding the Fourth Proportional to 369,568.16, 510,004.10 and 199,802.24

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Solution

The fourth proportional to 369,568.16, 510,004.10 and 199,802.24 is: 275,727.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,568.16 : 510,004.10 = 199,802.24 : x
  2. Step 2: Convert to fraction form
    369,568.16/510,004.10 = 199,802.24/x
  3. Step 3: Cross multiply
    369,568.16x = 510,004.10 × 199,802.24
  4. Step 4: Simplify right side
    369,568.16x = 101,899,961,589.18
  5. Step 5: Solve for x
    x = 101,899,961,589.18/369,568.16
  6. Step 6: Final answer
    x = 275,727.11

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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.