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Finding the Fourth Proportional to 509,574.60, 764,434.80 and 154,616.40

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Solution

The fourth proportional to 509,574.60, 764,434.80 and 154,616.40 is: 231,946.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,574.60 : 764,434.80 = 154,616.40 : x
  2. Step 2: Convert to fraction form
    509,574.60/764,434.80 = 154,616.40/x
  3. Step 3: Cross multiply
    509,574.60x = 764,434.80 × 154,616.40
  4. Step 4: Simplify right side
    509,574.60x = 118,194,156,810.72
  5. Step 5: Solve for x
    x = 118,194,156,810.72/509,574.60
  6. Step 6: Final answer
    x = 231,946.72

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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.