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Finding the Fourth Proportional to 517,763.10, 714,511.62 and 291,408.60

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Solution

The fourth proportional to 517,763.10, 714,511.62 and 291,408.60 is: 402,143.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,763.10 : 714,511.62 = 291,408.60 : x
  2. Step 2: Convert to fraction form
    517,763.10/714,511.62 = 291,408.60/x
  3. Step 3: Cross multiply
    517,763.10x = 714,511.62 × 291,408.60
  4. Step 4: Simplify right side
    517,763.10x = 208,214,830,867.93
  5. Step 5: Solve for x
    x = 208,214,830,867.93/517,763.10
  6. Step 6: Final answer
    x = 402,143.05

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Why These Related Problems?

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