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Finding the Fourth Proportional to 462,800.61, 638,476.43 and 301,596.93

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Solution

The fourth proportional to 462,800.61, 638,476.43 and 301,596.93 is: 416,080.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,800.61 : 638,476.43 = 301,596.93 : x
  2. Step 2: Convert to fraction form
    462,800.61/638,476.43 = 301,596.93/x
  3. Step 3: Cross multiply
    462,800.61x = 638,476.43 × 301,596.93
  4. Step 4: Simplify right side
    462,800.61x = 192,562,529,657.38
  5. Step 5: Solve for x
    x = 192,562,529,657.38/462,800.61
  6. Step 6: Final answer
    x = 416,080.98

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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.