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Finding the Fourth Proportional to 305,213.60, 457,711.05 and 155,404.10

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Solution

The fourth proportional to 305,213.60, 457,711.05 and 155,404.10 is: 233,050.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,213.60 : 457,711.05 = 155,404.10 : x
  2. Step 2: Convert to fraction form
    305,213.60/457,711.05 = 155,404.10/x
  3. Step 3: Cross multiply
    305,213.60x = 457,711.05 × 155,404.10
  4. Step 4: Simplify right side
    305,213.60x = 71,130,173,785.31
  5. Step 5: Solve for x
    x = 71,130,173,785.31/305,213.60
  6. Step 6: Final answer
    x = 233,050.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.