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Finding the Fourth Proportional to 600,415.64, 901,653.78 and 533,099.78

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Solution

The fourth proportional to 600,415.64, 901,653.78 and 533,099.78 is: 800,564.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,415.64 : 901,653.78 = 533,099.78 : x
  2. Step 2: Convert to fraction form
    600,415.64/901,653.78 = 533,099.78/x
  3. Step 3: Cross multiply
    600,415.64x = 901,653.78 × 533,099.78
  4. Step 4: Simplify right side
    600,415.64x = 480,671,431,754.17
  5. Step 5: Solve for x
    x = 480,671,431,754.17/600,415.64
  6. Step 6: Final answer
    x = 800,564.48

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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.