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Finding the Fourth Proportional to 270,827.01, 406,088.55 and 185,534.24

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Solution

The fourth proportional to 270,827.01, 406,088.55 and 185,534.24 is: 278,197.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,827.01 : 406,088.55 = 185,534.24 : x
  2. Step 2: Convert to fraction form
    270,827.01/406,088.55 = 185,534.24/x
  3. Step 3: Cross multiply
    270,827.01x = 406,088.55 × 185,534.24
  4. Step 4: Simplify right side
    270,827.01x = 75,343,328,466.51
  5. Step 5: Solve for x
    x = 75,343,328,466.51/270,827.01
  6. Step 6: Final answer
    x = 278,197.25

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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.