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Finding the Fourth Proportional to 599,533.98, 897,689.46 and 456,698.82

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Solution

The fourth proportional to 599,533.98, 897,689.46 and 456,698.82 is: 683,820.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,533.98 : 897,689.46 = 456,698.82 : x
  2. Step 2: Convert to fraction form
    599,533.98/897,689.46 = 456,698.82/x
  3. Step 3: Cross multiply
    599,533.98x = 897,689.46 × 456,698.82
  4. Step 4: Simplify right side
    599,533.98x = 409,973,717,108.44
  5. Step 5: Solve for x
    x = 409,973,717,108.44/599,533.98
  6. Step 6: Final answer
    x = 683,820.65

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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.