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Finding the Fourth Proportional to 346,155.53, 519,106.46 and 146,491.47

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Solution

The fourth proportional to 346,155.53, 519,106.46 and 146,491.47 is: 219,683.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,155.53 : 519,106.46 = 146,491.47 : x
  2. Step 2: Convert to fraction form
    346,155.53/519,106.46 = 146,491.47/x
  3. Step 3: Cross multiply
    346,155.53x = 519,106.46 × 146,491.47
  4. Step 4: Simplify right side
    346,155.53x = 76,044,667,679.44
  5. Step 5: Solve for x
    x = 76,044,667,679.44/346,155.53
  6. Step 6: Final answer
    x = 219,683.53

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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.