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Finding the Fourth Proportional to 584,659.40, 876,989.10 and 164,006.60

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Solution

The fourth proportional to 584,659.40, 876,989.10 and 164,006.60 is: 246,009.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,659.40 : 876,989.10 = 164,006.60 : x
  2. Step 2: Convert to fraction form
    584,659.40/876,989.10 = 164,006.60/x
  3. Step 3: Cross multiply
    584,659.40x = 876,989.10 × 164,006.60
  4. Step 4: Simplify right side
    584,659.40x = 143,832,000,528.06
  5. Step 5: Solve for x
    x = 143,832,000,528.06/584,659.40
  6. Step 6: Final answer
    x = 246,009.90

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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.