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Finding the Fourth Proportional to 721,500, 995,666.76 and 415,464.72

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Solution

The fourth proportional to 721,500, 995,666.76 and 415,464.72 is: 573,339.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    721,500 : 995,666.76 = 415,464.72 : x
  2. Step 2: Convert to fraction form
    721,500/995,666.76 = 415,464.72/x
  3. Step 3: Cross multiply
    721,500x = 995,666.76 × 415,464.72
  4. Step 4: Simplify right side
    721,500x = 413,664,411,656.71
  5. Step 5: Solve for x
    x = 413,664,411,656.71/721,500
  6. Step 6: Final answer
    x = 573,339.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.