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Finding the Fourth Proportional to 535,837.90, 803,464.85 and 161,812.30

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Solution

The fourth proportional to 535,837.90, 803,464.85 and 161,812.30 is: 242,630.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,837.90 : 803,464.85 = 161,812.30 : x
  2. Step 2: Convert to fraction form
    535,837.90/803,464.85 = 161,812.30/x
  3. Step 3: Cross multiply
    535,837.90x = 803,464.85 × 161,812.30
  4. Step 4: Simplify right side
    535,837.90x = 130,010,495,347.66
  5. Step 5: Solve for x
    x = 130,010,495,347.66/535,837.90
  6. Step 6: Final answer
    x = 242,630.27

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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.