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Finding the Fourth Proportional to 421,633.66, 581,460.12 and 335,877.74

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Solution

The fourth proportional to 421,633.66, 581,460.12 and 335,877.74 is: 463,197.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,633.66 : 581,460.12 = 335,877.74 : x
  2. Step 2: Convert to fraction form
    421,633.66/581,460.12 = 335,877.74/x
  3. Step 3: Cross multiply
    421,633.66x = 581,460.12 × 335,877.74
  4. Step 4: Simplify right side
    421,633.66x = 195,299,512,459.38
  5. Step 5: Solve for x
    x = 195,299,512,459.38/421,633.66
  6. Step 6: Final answer
    x = 463,197.16

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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.