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Finding the Fourth Proportional to 549,151, 824,308.79 and 486,378.63

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Solution

The fourth proportional to 549,151, 824,308.79 and 486,378.63 is: 730,083.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,151 : 824,308.79 = 486,378.63 : x
  2. Step 2: Convert to fraction form
    549,151/824,308.79 = 486,378.63/x
  3. Step 3: Cross multiply
    549,151x = 824,308.79 × 486,378.63
  4. Step 4: Simplify right side
    549,151x = 400,926,179,977.16
  5. Step 5: Solve for x
    x = 400,926,179,977.16/549,151
  6. Step 6: Final answer
    x = 730,083.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.