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Finding the Fourth Proportional to 357,907.10, 493,921.23 and 194,574.59

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Solution

The fourth proportional to 357,907.10, 493,921.23 and 194,574.59 is: 268,518.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,907.10 : 493,921.23 = 194,574.59 : x
  2. Step 2: Convert to fraction form
    357,907.10/493,921.23 = 194,574.59/x
  3. Step 3: Cross multiply
    357,907.10x = 493,921.23 × 194,574.59
  4. Step 4: Simplify right side
    357,907.10x = 96,104,518,349.94
  5. Step 5: Solve for x
    x = 96,104,518,349.94/357,907.10
  6. Step 6: Final answer
    x = 268,518.06

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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.