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Finding the Fourth Proportional to 304,127, 419,678.32 and 168,152.78

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Solution

The fourth proportional to 304,127, 419,678.32 and 168,152.78 is: 232,041.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,127 : 419,678.32 = 168,152.78 : x
  2. Step 2: Convert to fraction form
    304,127/419,678.32 = 168,152.78/x
  3. Step 3: Cross multiply
    304,127x = 419,678.32 × 168,152.78
  4. Step 4: Simplify right side
    304,127x = 70,570,076,213.73
  5. Step 5: Solve for x
    x = 70,570,076,213.73/304,127
  6. Step 6: Final answer
    x = 232,041.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.