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Finding the Fourth Proportional to 492,784.60, 680,041.26 and 266,430.10

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Solution

The fourth proportional to 492,784.60, 680,041.26 and 266,430.10 is: 367,672.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,784.60 : 680,041.26 = 266,430.10 : x
  2. Step 2: Convert to fraction form
    492,784.60/680,041.26 = 266,430.10/x
  3. Step 3: Cross multiply
    492,784.60x = 680,041.26 × 266,430.10
  4. Step 4: Simplify right side
    492,784.60x = 181,183,460,905.93
  5. Step 5: Solve for x
    x = 181,183,460,905.93/492,784.60
  6. Step 6: Final answer
    x = 367,672.73

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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.