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Finding the Fourth Proportional to 407,024.46, 610,480.10 and 285,075.63

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Solution

The fourth proportional to 407,024.46, 610,480.10 and 285,075.63 is: 427,573.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,024.46 : 610,480.10 = 285,075.63 : x
  2. Step 2: Convert to fraction form
    407,024.46/610,480.10 = 285,075.63/x
  3. Step 3: Cross multiply
    407,024.46x = 610,480.10 × 285,075.63
  4. Step 4: Simplify right side
    407,024.46x = 174,032,999,822.65
  5. Step 5: Solve for x
    x = 174,032,999,822.65/407,024.46
  6. Step 6: Final answer
    x = 427,573.81

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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.