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Finding the Fourth Proportional to 354,904.50, 532,360.40 and 105,586.50

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Solution

The fourth proportional to 354,904.50, 532,360.40 and 105,586.50 is: 158,380.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,904.50 : 532,360.40 = 105,586.50 : x
  2. Step 2: Convert to fraction form
    354,904.50/532,360.40 = 105,586.50/x
  3. Step 3: Cross multiply
    354,904.50x = 532,360.40 × 105,586.50
  4. Step 4: Simplify right side
    354,904.50x = 56,210,071,374.60
  5. Step 5: Solve for x
    x = 56,210,071,374.60/354,904.50
  6. Step 6: Final answer
    x = 158,380.84

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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.