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Finding the Fourth Proportional to 357,709.68, 493,677.32 and 214,483.05

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Solution

The fourth proportional to 357,709.68, 493,677.32 and 214,483.05 is: 296,009.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,709.68 : 493,677.32 = 214,483.05 : x
  2. Step 2: Convert to fraction form
    357,709.68/493,677.32 = 214,483.05/x
  3. Step 3: Cross multiply
    357,709.68x = 493,677.32 × 214,483.05
  4. Step 4: Simplify right side
    357,709.68x = 105,885,416,237.01
  5. Step 5: Solve for x
    x = 105,885,416,237.01/357,709.68
  6. Step 6: Final answer
    x = 296,009.37

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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.