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Finding the Fourth Proportional to 405,420.48, 559,535.90 and 233,334.96

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Solution

The fourth proportional to 405,420.48, 559,535.90 and 233,334.96 is: 322,034.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,420.48 : 559,535.90 = 233,334.96 : x
  2. Step 2: Convert to fraction form
    405,420.48/559,535.90 = 233,334.96/x
  3. Step 3: Cross multiply
    405,420.48x = 559,535.90 × 233,334.96
  4. Step 4: Simplify right side
    405,420.48x = 130,559,285,678.39
  5. Step 5: Solve for x
    x = 130,559,285,678.39/405,420.48
  6. Step 6: Final answer
    x = 322,034.26

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1.5x scale

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.