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Finding the Fourth Proportional to 462,401.16, 637,698.88 and 385,133.38

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Solution

The fourth proportional to 462,401.16, 637,698.88 and 385,133.38 is: 531,138.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,401.16 : 637,698.88 = 385,133.38 : x
  2. Step 2: Convert to fraction form
    462,401.16/637,698.88 = 385,133.38/x
  3. Step 3: Cross multiply
    462,401.16x = 637,698.88 × 385,133.38
  4. Step 4: Simplify right side
    462,401.16x = 245,599,125,076.61
  5. Step 5: Solve for x
    x = 245,599,125,076.61/462,401.16
  6. Step 6: Final answer
    x = 531,138.64

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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.