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Finding the Fourth Proportional to 549,797.83, 824,437.95 and 212,996.18

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Solution

The fourth proportional to 549,797.83, 824,437.95 and 212,996.18 is: 319,394.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,797.83 : 824,437.95 = 212,996.18 : x
  2. Step 2: Convert to fraction form
    549,797.83/824,437.95 = 212,996.18/x
  3. Step 3: Cross multiply
    549,797.83x = 824,437.95 × 212,996.18
  4. Step 4: Simplify right side
    549,797.83x = 175,602,135,259.39
  5. Step 5: Solve for x
    x = 175,602,135,259.39/549,797.83
  6. Step 6: Final answer
    x = 319,394.01

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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.