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Finding the Fourth Proportional to 549,407.34, 827,854.61 and 451,755

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Solution

The fourth proportional to 549,407.34, 827,854.61 and 451,755 is: 680,710.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,407.34 : 827,854.61 = 451,755 : x
  2. Step 2: Convert to fraction form
    549,407.34/827,854.61 = 451,755/x
  3. Step 3: Cross multiply
    549,407.34x = 827,854.61 × 451,755
  4. Step 4: Simplify right side
    549,407.34x = 373,987,457,081.78
  5. Step 5: Solve for x
    x = 373,987,457,081.78/549,407.34
  6. Step 6: Final answer
    x = 680,710.70

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.