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Finding the Fourth Proportional to 357,367.50, 493,183.23 and 214,124.46

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Solution

The fourth proportional to 357,367.50, 493,183.23 and 214,124.46 is: 295,501.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,367.50 : 493,183.23 = 214,124.46 : x
  2. Step 2: Convert to fraction form
    357,367.50/493,183.23 = 214,124.46/x
  3. Step 3: Cross multiply
    357,367.50x = 493,183.23 × 214,124.46
  4. Step 4: Simplify right side
    357,367.50x = 105,602,592,804.81
  5. Step 5: Solve for x
    x = 105,602,592,804.81/357,367.50
  6. Step 6: Final answer
    x = 295,501.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.