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Finding the Fourth Proportional to 589,548.81, 814,194.90 and 406,263.95

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Solution

The fourth proportional to 589,548.81, 814,194.90 and 406,263.95 is: 561,069.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,548.81 : 814,194.90 = 406,263.95 : x
  2. Step 2: Convert to fraction form
    589,548.81/814,194.90 = 406,263.95/x
  3. Step 3: Cross multiply
    589,548.81x = 814,194.90 × 406,263.95
  4. Step 4: Simplify right side
    589,548.81x = 330,778,032,072.88
  5. Step 5: Solve for x
    x = 330,778,032,072.88/589,548.81
  6. Step 6: Final answer
    x = 561,069.80

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1.5x scale

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.