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Finding the Fourth Proportional to 509,045.60, 763,654.80 and 154,056.80

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Solution

The fourth proportional to 509,045.60, 763,654.80 and 154,056.80 is: 231,111.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,045.60 : 763,654.80 = 154,056.80 : x
  2. Step 2: Convert to fraction form
    509,045.60/763,654.80 = 154,056.80/x
  3. Step 3: Cross multiply
    509,045.60x = 763,654.80 × 154,056.80
  4. Step 4: Simplify right side
    509,045.60x = 117,646,214,792.64
  5. Step 5: Solve for x
    x = 117,646,214,792.64/509,045.60
  6. Step 6: Final answer
    x = 231,111.35

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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.