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Finding the Fourth Proportional to 561,106.94, 773,814.75 and 438,615.50

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Solution

The fourth proportional to 561,106.94, 773,814.75 and 438,615.50 is: 604,888.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,106.94 : 773,814.75 = 438,615.50 : x
  2. Step 2: Convert to fraction form
    561,106.94/773,814.75 = 438,615.50/x
  3. Step 3: Cross multiply
    561,106.94x = 773,814.75 × 438,615.50
  4. Step 4: Simplify right side
    561,106.94x = 339,407,143,478.63
  5. Step 5: Solve for x
    x = 339,407,143,478.63/561,106.94
  6. Step 6: Final answer
    x = 604,888.51

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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.