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Finding the Fourth Proportional to 363,830.68, 545,804.34 and 153,499.60

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Solution

The fourth proportional to 363,830.68, 545,804.34 and 153,499.60 is: 230,274.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,830.68 : 545,804.34 = 153,499.60 : x
  2. Step 2: Convert to fraction form
    363,830.68/545,804.34 = 153,499.60/x
  3. Step 3: Cross multiply
    363,830.68x = 545,804.34 × 153,499.60
  4. Step 4: Simplify right side
    363,830.68x = 83,780,747,868.26
  5. Step 5: Solve for x
    x = 83,780,747,868.26/363,830.68
  6. Step 6: Final answer
    x = 230,274.01

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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.