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Finding the Fourth Proportional to 535,398.68, 803,172 and 180,514.16

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Solution

The fourth proportional to 535,398.68, 803,172 and 180,514.16 is: 270,796.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,398.68 : 803,172 = 180,514.16 : x
  2. Step 2: Convert to fraction form
    535,398.68/803,172 = 180,514.16/x
  3. Step 3: Cross multiply
    535,398.68x = 803,172 × 180,514.16
  4. Step 4: Simplify right side
    535,398.68x = 144,983,918,915.52
  5. Step 5: Solve for x
    x = 144,983,918,915.52/535,398.68
  6. Step 6: Final answer
    x = 270,796.18

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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.