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Finding the Fourth Proportional to 370,018.94, 510,627.69 and 200,253.06

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Solution

The fourth proportional to 370,018.94, 510,627.69 and 200,253.06 is: 276,350.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,018.94 : 510,627.69 = 200,253.06 : x
  2. Step 2: Convert to fraction form
    370,018.94/510,627.69 = 200,253.06/x
  3. Step 3: Cross multiply
    370,018.94x = 510,627.69 × 200,253.06
  4. Step 4: Simplify right side
    370,018.94x = 102,254,757,443.23
  5. Step 5: Solve for x
    x = 102,254,757,443.23/370,018.94
  6. Step 6: Final answer
    x = 276,350.07

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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.