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Finding the Fourth Proportional to 357,793.52, 493,715.40 and 214,559.60

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Solution

The fourth proportional to 357,793.52, 493,715.40 and 214,559.60 is: 296,068.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,793.52 : 493,715.40 = 214,559.60 : x
  2. Step 2: Convert to fraction form
    357,793.52/493,715.40 = 214,559.60/x
  3. Step 3: Cross multiply
    357,793.52x = 493,715.40 × 214,559.60
  4. Step 4: Simplify right side
    357,793.52x = 105,931,378,737.84
  5. Step 5: Solve for x
    x = 105,931,378,737.84/357,793.52
  6. Step 6: Final answer
    x = 296,068.47

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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.