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Finding the Fourth Proportional to 354,432.12, 531,894.46 and 144,070.26

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Solution

The fourth proportional to 354,432.12, 531,894.46 and 144,070.26 is: 216,205.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,432.12 : 531,894.46 = 144,070.26 : x
  2. Step 2: Convert to fraction form
    354,432.12/531,894.46 = 144,070.26/x
  3. Step 3: Cross multiply
    354,432.12x = 531,894.46 × 144,070.26
  4. Step 4: Simplify right side
    354,432.12x = 76,630,173,144.76
  5. Step 5: Solve for x
    x = 76,630,173,144.76/354,432.12
  6. Step 6: Final answer
    x = 216,205.50

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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.