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Finding the Fourth Proportional to 446,970.22, 670,547.70 and 147,469.12

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Solution

The fourth proportional to 446,970.22, 670,547.70 and 147,469.12 is: 221,234.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,970.22 : 670,547.70 = 147,469.12 : x
  2. Step 2: Convert to fraction form
    446,970.22/670,547.70 = 147,469.12/x
  3. Step 3: Cross multiply
    446,970.22x = 670,547.70 × 147,469.12
  4. Step 4: Simplify right side
    446,970.22x = 98,885,079,237.02
  5. Step 5: Solve for x
    x = 98,885,079,237.02/446,970.22
  6. Step 6: Final answer
    x = 221,234.16

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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.