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Finding the Fourth Proportional to 346,076.40, 519,114.60 and 308,751.60

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Solution

The fourth proportional to 346,076.40, 519,114.60 and 308,751.60 is: 463,127.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,076.40 : 519,114.60 = 308,751.60 : x
  2. Step 2: Convert to fraction form
    346,076.40/519,114.60 = 308,751.60/x
  3. Step 3: Cross multiply
    346,076.40x = 519,114.60 × 308,751.60
  4. Step 4: Simplify right side
    346,076.40x = 160,277,463,333.36
  5. Step 5: Solve for x
    x = 160,277,463,333.36/346,076.40
  6. Step 6: Final answer
    x = 463,127.40

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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.