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Finding the Fourth Proportional to 369,804.70, 510,332.52 and 206,468.59

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Solution

The fourth proportional to 369,804.70, 510,332.52 and 206,468.59 is: 284,927.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,804.70 : 510,332.52 = 206,468.59 : x
  2. Step 2: Convert to fraction form
    369,804.70/510,332.52 = 206,468.59/x
  3. Step 3: Cross multiply
    369,804.70x = 510,332.52 × 206,468.59
  4. Step 4: Simplify right side
    369,804.70x = 105,367,635,835.55
  5. Step 5: Solve for x
    x = 105,367,635,835.55/369,804.70
  6. Step 6: Final answer
    x = 284,927.79

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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.