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Finding the Fourth Proportional to 461,712.08, 692,607.60 and 162,166.58

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Solution

The fourth proportional to 461,712.08, 692,607.60 and 162,166.58 is: 243,263.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,712.08 : 692,607.60 = 162,166.58 : x
  2. Step 2: Convert to fraction form
    461,712.08/692,607.60 = 162,166.58/x
  3. Step 3: Cross multiply
    461,712.08x = 692,607.60 × 162,166.58
  4. Step 4: Simplify right side
    461,712.08x = 112,317,805,774.01
  5. Step 5: Solve for x
    x = 112,317,805,774.01/461,712.08
  6. Step 6: Final answer
    x = 243,263.74

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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.