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Finding the Fourth Proportional to 446,235, 669,210.54 and 146,646.24

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Solution

The fourth proportional to 446,235, 669,210.54 and 146,646.24 is: 219,922.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,235 : 669,210.54 = 146,646.24 : x
  2. Step 2: Convert to fraction form
    446,235/669,210.54 = 146,646.24/x
  3. Step 3: Cross multiply
    446,235x = 669,210.54 × 146,646.24
  4. Step 4: Simplify right side
    446,235x = 98,137,209,459.37
  5. Step 5: Solve for x
    x = 98,137,209,459.37/446,235
  6. Step 6: Final answer
    x = 219,922.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.