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Finding the Fourth Proportional to 288,468.40, 432,702.60 and 164,052.40

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Solution

The fourth proportional to 288,468.40, 432,702.60 and 164,052.40 is: 246,078.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,468.40 : 432,702.60 = 164,052.40 : x
  2. Step 2: Convert to fraction form
    288,468.40/432,702.60 = 164,052.40/x
  3. Step 3: Cross multiply
    288,468.40x = 432,702.60 × 164,052.40
  4. Step 4: Simplify right side
    288,468.40x = 70,985,900,016.24
  5. Step 5: Solve for x
    x = 70,985,900,016.24/288,468.40
  6. Step 6: Final answer
    x = 246,078.60

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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.