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Finding the Fourth Proportional to 549,726.40, 824,589.60 and 465,745.60

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Solution

The fourth proportional to 549,726.40, 824,589.60 and 465,745.60 is: 698,618.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,726.40 : 824,589.60 = 465,745.60 : x
  2. Step 2: Convert to fraction form
    549,726.40/824,589.60 = 465,745.60/x
  3. Step 3: Cross multiply
    549,726.40x = 824,589.60 × 465,745.60
  4. Step 4: Simplify right side
    549,726.40x = 384,048,978,005.76
  5. Step 5: Solve for x
    x = 384,048,978,005.76/549,726.40
  6. Step 6: Final answer
    x = 698,618.40

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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.