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Finding the Fourth Proportional to 369,322.74, 509,658.24 and 208,174.68

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Solution

The fourth proportional to 369,322.74, 509,658.24 and 208,174.68 is: 287,277.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,322.74 : 509,658.24 = 208,174.68 : x
  2. Step 2: Convert to fraction form
    369,322.74/509,658.24 = 208,174.68/x
  3. Step 3: Cross multiply
    369,322.74x = 509,658.24 × 208,174.68
  4. Step 4: Simplify right side
    369,322.74x = 106,097,941,021.36
  5. Step 5: Solve for x
    x = 106,097,941,021.36/369,322.74
  6. Step 6: Final answer
    x = 287,277.03

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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.