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Finding the Fourth Proportional to 446,688.51, 670,157.80 and 180,635.84

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Solution

The fourth proportional to 446,688.51, 670,157.80 and 180,635.84 is: 271,004.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,688.51 : 670,157.80 = 180,635.84 : x
  2. Step 2: Convert to fraction form
    446,688.51/670,157.80 = 180,635.84/x
  3. Step 3: Cross multiply
    446,688.51x = 670,157.80 × 180,635.84
  4. Step 4: Simplify right side
    446,688.51x = 121,054,513,784.76
  5. Step 5: Solve for x
    x = 121,054,513,784.76/446,688.51
  6. Step 6: Final answer
    x = 271,004.32

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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.