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Finding the Fourth Proportional to 343,559.33, 473,801.24 and 214,509.45

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Solution

The fourth proportional to 343,559.33, 473,801.24 and 214,509.45 is: 295,829.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,559.33 : 473,801.24 = 214,509.45 : x
  2. Step 2: Convert to fraction form
    343,559.33/473,801.24 = 214,509.45/x
  3. Step 3: Cross multiply
    343,559.33x = 473,801.24 × 214,509.45
  4. Step 4: Simplify right side
    343,559.33x = 101,634,842,329.17
  5. Step 5: Solve for x
    x = 101,634,842,329.17/343,559.33
  6. Step 6: Final answer
    x = 295,829.09

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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.