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Finding the Fourth Proportional to 446,533.86, 669,892.86 and 147,032.28

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Solution

The fourth proportional to 446,533.86, 669,892.86 and 147,032.28 is: 220,578.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,533.86 : 669,892.86 = 147,032.28 : x
  2. Step 2: Convert to fraction form
    446,533.86/669,892.86 = 147,032.28/x
  3. Step 3: Cross multiply
    446,533.86x = 669,892.86 × 147,032.28
  4. Step 4: Simplify right side
    446,533.86x = 98,495,874,561.52
  5. Step 5: Solve for x
    x = 98,495,874,561.52/446,533.86
  6. Step 6: Final answer
    x = 220,578.74

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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.