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Finding the Fourth Proportional to 464,448.87, 696,739.05 and 148,832.10

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Solution

The fourth proportional to 464,448.87, 696,739.05 and 148,832.10 is: 223,269.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,448.87 : 696,739.05 = 148,832.10 : x
  2. Step 2: Convert to fraction form
    464,448.87/696,739.05 = 148,832.10/x
  3. Step 3: Cross multiply
    464,448.87x = 696,739.05 × 148,832.10
  4. Step 4: Simplify right side
    464,448.87x = 103,697,135,963.51
  5. Step 5: Solve for x
    x = 103,697,135,963.51/464,448.87
  6. Step 6: Final answer
    x = 223,269.22

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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.