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Finding the Fourth Proportional to 494,813.80, 742,047.90 and 258,077.80

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Solution

The fourth proportional to 494,813.80, 742,047.90 and 258,077.80 is: 387,026.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,813.80 : 742,047.90 = 258,077.80 : x
  2. Step 2: Convert to fraction form
    494,813.80/742,047.90 = 258,077.80/x
  3. Step 3: Cross multiply
    494,813.80x = 742,047.90 × 258,077.80
  4. Step 4: Simplify right side
    494,813.80x = 191,506,089,526.62
  5. Step 5: Solve for x
    x = 191,506,089,526.62/494,813.80
  6. Step 6: Final answer
    x = 387,026.57

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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.