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Finding the Fourth Proportional to 426,644.60, 639,794.10 and 146,017.40

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Solution

The fourth proportional to 426,644.60, 639,794.10 and 146,017.40 is: 218,966.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,644.60 : 639,794.10 = 146,017.40 : x
  2. Step 2: Convert to fraction form
    426,644.60/639,794.10 = 146,017.40/x
  3. Step 3: Cross multiply
    426,644.60x = 639,794.10 × 146,017.40
  4. Step 4: Simplify right side
    426,644.60x = 93,421,071,017.34
  5. Step 5: Solve for x
    x = 93,421,071,017.34/426,644.60
  6. Step 6: Final answer
    x = 218,966.96

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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.