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Finding the Fourth Proportional to 369,098.37, 509,336.91 and 207,962.94

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Solution

The fourth proportional to 369,098.37, 509,336.91 and 207,962.94 is: 286,978.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,098.37 : 509,336.91 = 207,962.94 : x
  2. Step 2: Convert to fraction form
    369,098.37/509,336.91 = 207,962.94/x
  3. Step 3: Cross multiply
    369,098.37x = 509,336.91 × 207,962.94
  4. Step 4: Simplify right side
    369,098.37x = 105,923,203,164.13
  5. Step 5: Solve for x
    x = 105,923,203,164.13/369,098.37
  6. Step 6: Final answer
    x = 286,978.25

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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.