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Finding the Fourth Proportional to 463,224.81, 639,649.18 and 291,429.12

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Solution

The fourth proportional to 463,224.81, 639,649.18 and 291,429.12 is: 402,423.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,224.81 : 639,649.18 = 291,429.12 : x
  2. Step 2: Convert to fraction form
    463,224.81/639,649.18 = 291,429.12/x
  3. Step 3: Cross multiply
    463,224.81x = 639,649.18 × 291,429.12
  4. Step 4: Simplify right side
    463,224.81x = 186,412,397,636.12
  5. Step 5: Solve for x
    x = 186,412,397,636.12/463,224.81
  6. Step 6: Final answer
    x = 402,423.18

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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.