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Finding the Fourth Proportional to 415,281.50, 623,026.30 and 119,793.50

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Solution

The fourth proportional to 415,281.50, 623,026.30 and 119,793.50 is: 179,720.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,281.50 : 623,026.30 = 119,793.50 : x
  2. Step 2: Convert to fraction form
    415,281.50/623,026.30 = 119,793.50/x
  3. Step 3: Cross multiply
    415,281.50x = 623,026.30 × 119,793.50
  4. Step 4: Simplify right side
    415,281.50x = 74,634,501,069.05
  5. Step 5: Solve for x
    x = 74,634,501,069.05/415,281.50
  6. Step 6: Final answer
    x = 179,720.26

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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.