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Finding the Fourth Proportional to 369,621.72, 510,075.50 and 208,478.10

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Solution

The fourth proportional to 369,621.72, 510,075.50 and 208,478.10 is: 287,698.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,621.72 : 510,075.50 = 208,478.10 : x
  2. Step 2: Convert to fraction form
    369,621.72/510,075.50 = 208,478.10/x
  3. Step 3: Cross multiply
    369,621.72x = 510,075.50 × 208,478.10
  4. Step 4: Simplify right side
    369,621.72x = 106,339,571,096.55
  5. Step 5: Solve for x
    x = 106,339,571,096.55/369,621.72
  6. Step 6: Final answer
    x = 287,698.38

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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.