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Finding the Fourth Proportional to 462,837.60, 694,256.40 and 147,326.40

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Solution

The fourth proportional to 462,837.60, 694,256.40 and 147,326.40 is: 220,989.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,837.60 : 694,256.40 = 147,326.40 : x
  2. Step 2: Convert to fraction form
    462,837.60/694,256.40 = 147,326.40/x
  3. Step 3: Cross multiply
    462,837.60x = 694,256.40 × 147,326.40
  4. Step 4: Simplify right side
    462,837.60x = 102,282,296,088.96
  5. Step 5: Solve for x
    x = 102,282,296,088.96/462,837.60
  6. Step 6: Final answer
    x = 220,989.60

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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.