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Finding the Fourth Proportional to 346,084.40, 519,223.80 and 146,500.40

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Solution

The fourth proportional to 346,084.40, 519,223.80 and 146,500.40 is: 219,791.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,084.40 : 519,223.80 = 146,500.40 : x
  2. Step 2: Convert to fraction form
    346,084.40/519,223.80 = 146,500.40/x
  3. Step 3: Cross multiply
    346,084.40x = 519,223.80 × 146,500.40
  4. Step 4: Simplify right side
    346,084.40x = 76,066,494,389.52
  5. Step 5: Solve for x
    x = 76,066,494,389.52/346,084.40
  6. Step 6: Final answer
    x = 219,791.75

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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.