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Finding the Fourth Proportional to 535,266, 803,210.04 and 239,778

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Solution

The fourth proportional to 535,266, 803,210.04 and 239,778 is: 359,806.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,266 : 803,210.04 = 239,778 : x
  2. Step 2: Convert to fraction form
    535,266/803,210.04 = 239,778/x
  3. Step 3: Cross multiply
    535,266x = 803,210.04 × 239,778
  4. Step 4: Simplify right side
    535,266x = 192,592,096,971.12
  5. Step 5: Solve for x
    x = 192,592,096,971.12/535,266
  6. Step 6: Final answer
    x = 359,806.33

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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.