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Finding the Fourth Proportional to 469,781.54, 648,289.52 and 265,828.74

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Solution

The fourth proportional to 469,781.54, 648,289.52 and 265,828.74 is: 366,838.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,781.54 : 648,289.52 = 265,828.74 : x
  2. Step 2: Convert to fraction form
    469,781.54/648,289.52 = 265,828.74/x
  3. Step 3: Cross multiply
    469,781.54x = 648,289.52 × 265,828.74
  4. Step 4: Simplify right side
    469,781.54x = 172,333,986,256.81
  5. Step 5: Solve for x
    x = 172,333,986,256.81/469,781.54
  6. Step 6: Final answer
    x = 366,838.57

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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.