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Finding the Fourth Proportional to 293,214.93, 439,830.59 and 103,648.50

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Solution

The fourth proportional to 293,214.93, 439,830.59 and 103,648.50 is: 155,475.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,214.93 : 439,830.59 = 103,648.50 : x
  2. Step 2: Convert to fraction form
    293,214.93/439,830.59 = 103,648.50/x
  3. Step 3: Cross multiply
    293,214.93x = 439,830.59 × 103,648.50
  4. Step 4: Simplify right side
    293,214.93x = 45,587,780,907.62
  5. Step 5: Solve for x
    x = 45,587,780,907.62/293,214.93
  6. Step 6: Final answer
    x = 155,475.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.