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Finding the Fourth Proportional to 407,300.58, 611,038.74 and 122,967.54

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Solution

The fourth proportional to 407,300.58, 611,038.74 and 122,967.54 is: 184,477.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,300.58 : 611,038.74 = 122,967.54 : x
  2. Step 2: Convert to fraction form
    407,300.58/611,038.74 = 122,967.54/x
  3. Step 3: Cross multiply
    407,300.58x = 611,038.74 × 122,967.54
  4. Step 4: Simplify right side
    407,300.58x = 75,137,930,702.50
  5. Step 5: Solve for x
    x = 75,137,930,702.50/407,300.58
  6. Step 6: Final answer
    x = 184,477.84

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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.