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Finding the Fourth Proportional to 509,541.60, 764,312.40 and 154,538.40

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Solution

The fourth proportional to 509,541.60, 764,312.40 and 154,538.40 is: 231,807.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,541.60 : 764,312.40 = 154,538.40 : x
  2. Step 2: Convert to fraction form
    509,541.60/764,312.40 = 154,538.40/x
  3. Step 3: Cross multiply
    509,541.60x = 764,312.40 × 154,538.40
  4. Step 4: Simplify right side
    509,541.60x = 118,115,615,396.16
  5. Step 5: Solve for x
    x = 118,115,615,396.16/509,541.60
  6. Step 6: Final answer
    x = 231,807.60

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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.