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Finding the Fourth Proportional to 446,458.21, 616,123.46 and 242,509.07

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Solution

The fourth proportional to 446,458.21, 616,123.46 and 242,509.07 is: 334,668.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,458.21 : 616,123.46 = 242,509.07 : x
  2. Step 2: Convert to fraction form
    446,458.21/616,123.46 = 242,509.07/x
  3. Step 3: Cross multiply
    446,458.21x = 616,123.46 × 242,509.07
  4. Step 4: Simplify right side
    446,458.21x = 149,415,527,289.78
  5. Step 5: Solve for x
    x = 149,415,527,289.78/446,458.21
  6. Step 6: Final answer
    x = 334,668.56

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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.