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Finding the Fourth Proportional to 549,810.10, 824,456.28 and 213,008.44

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Solution

The fourth proportional to 549,810.10, 824,456.28 and 213,008.44 is: 319,412.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,810.10 : 824,456.28 = 213,008.44 : x
  2. Step 2: Convert to fraction form
    549,810.10/824,456.28 = 213,008.44/x
  3. Step 3: Cross multiply
    549,810.10x = 824,456.28 × 213,008.44
  4. Step 4: Simplify right side
    549,810.10x = 175,616,146,051.00
  5. Step 5: Solve for x
    x = 175,616,146,051.00/549,810.10
  6. Step 6: Final answer
    x = 319,412.37

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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.