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Finding the Fourth Proportional to 446,646.96, 670,014.18 and 147,005.28

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Solution

The fourth proportional to 446,646.96, 670,014.18 and 147,005.28 is: 220,522.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,646.96 : 670,014.18 = 147,005.28 : x
  2. Step 2: Convert to fraction form
    446,646.96/670,014.18 = 147,005.28/x
  3. Step 3: Cross multiply
    446,646.96x = 670,014.18 × 147,005.28
  4. Step 4: Simplify right side
    446,646.96x = 98,495,622,134.87
  5. Step 5: Solve for x
    x = 98,495,622,134.87/446,646.96
  6. Step 6: Final answer
    x = 220,522.32

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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.