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Finding the Fourth Proportional to 464,677.12, 696,976.64 and 149,048.32

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Solution

The fourth proportional to 464,677.12, 696,976.64 and 149,048.32 is: 223,559.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,677.12 : 696,976.64 = 149,048.32 : x
  2. Step 2: Convert to fraction form
    464,677.12/696,976.64 = 149,048.32/x
  3. Step 3: Cross multiply
    464,677.12x = 696,976.64 × 149,048.32
  4. Step 4: Simplify right side
    464,677.12x = 103,883,197,271.25
  5. Step 5: Solve for x
    x = 103,883,197,271.25/464,677.12
  6. Step 6: Final answer
    x = 223,559.96

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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.