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Finding the Fourth Proportional to 465,587.37, 699,266.79 and 289,326.06

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Solution

The fourth proportional to 465,587.37, 699,266.79 and 289,326.06 is: 434,539.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,587.37 : 699,266.79 = 289,326.06 : x
  2. Step 2: Convert to fraction form
    465,587.37/699,266.79 = 289,326.06/x
  3. Step 3: Cross multiply
    465,587.37x = 699,266.79 × 289,326.06
  4. Step 4: Simplify right side
    465,587.37x = 202,316,105,239.55
  5. Step 5: Solve for x
    x = 202,316,105,239.55/465,587.37
  6. Step 6: Final answer
    x = 434,539.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.