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Finding the Fourth Proportional to 469,781.41, 648,289.35 and 265,828.62

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Solution

The fourth proportional to 469,781.41, 648,289.35 and 265,828.62 is: 366,838.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,781.41 : 648,289.35 = 265,828.62 : x
  2. Step 2: Convert to fraction form
    469,781.41/648,289.35 = 265,828.62/x
  3. Step 3: Cross multiply
    469,781.41x = 648,289.35 × 265,828.62
  4. Step 4: Simplify right side
    469,781.41x = 172,333,860,840.11
  5. Step 5: Solve for x
    x = 172,333,860,840.11/469,781.41
  6. Step 6: Final answer
    x = 366,838.40

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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.