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Finding the Fourth Proportional to 446,546.64, 616,231.80 and 242,595.90

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Solution

The fourth proportional to 446,546.64, 616,231.80 and 242,595.90 is: 334,780.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,546.64 : 616,231.80 = 242,595.90 : x
  2. Step 2: Convert to fraction form
    446,546.64/616,231.80 = 242,595.90/x
  3. Step 3: Cross multiply
    446,546.64x = 616,231.80 × 242,595.90
  4. Step 4: Simplify right side
    446,546.64x = 149,495,308,129.62
  5. Step 5: Solve for x
    x = 149,495,308,129.62/446,546.64
  6. Step 6: Final answer
    x = 334,780.95

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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.