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Finding the Fourth Proportional to 446,405.84, 616,047.42 and 242,456.90

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Solution

The fourth proportional to 446,405.84, 616,047.42 and 242,456.90 is: 334,594.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,405.84 : 616,047.42 = 242,456.90 : x
  2. Step 2: Convert to fraction form
    446,405.84/616,047.42 = 242,456.90/x
  3. Step 3: Cross multiply
    446,405.84x = 616,047.42 × 242,456.90
  4. Step 4: Simplify right side
    446,405.84x = 149,364,947,706.20
  5. Step 5: Solve for x
    x = 149,364,947,706.20/446,405.84
  6. Step 6: Final answer
    x = 334,594.52

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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.