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Finding the Fourth Proportional to 420,931.72, 581,024.19 and 335,048.23

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Solution

The fourth proportional to 420,931.72, 581,024.19 and 335,048.23 is: 462,476.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,931.72 : 581,024.19 = 335,048.23 : x
  2. Step 2: Convert to fraction form
    420,931.72/581,024.19 = 335,048.23/x
  3. Step 3: Cross multiply
    420,931.72x = 581,024.19 × 335,048.23
  4. Step 4: Simplify right side
    420,931.72x = 194,671,126,446.68
  5. Step 5: Solve for x
    x = 194,671,126,446.68/420,931.72
  6. Step 6: Final answer
    x = 462,476.73

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