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Finding the Fourth Proportional to 565,097.58, 847,652.94 and 165,746.32

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Solution

The fourth proportional to 565,097.58, 847,652.94 and 165,746.32 is: 248,621.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,097.58 : 847,652.94 = 165,746.32 : x
  2. Step 2: Convert to fraction form
    565,097.58/847,652.94 = 165,746.32/x
  3. Step 3: Cross multiply
    565,097.58x = 847,652.94 × 165,746.32
  4. Step 4: Simplify right side
    565,097.58x = 140,495,355,442.18
  5. Step 5: Solve for x
    x = 140,495,355,442.18/565,097.58
  6. Step 6: Final answer
    x = 248,621.41

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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.