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Finding the Fourth Proportional to 509,667.48, 764,530.38 and 154,693.08

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Solution

The fourth proportional to 509,667.48, 764,530.38 and 154,693.08 is: 232,048.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,667.48 : 764,530.38 = 154,693.08 : x
  2. Step 2: Convert to fraction form
    509,667.48/764,530.38 = 154,693.08/x
  3. Step 3: Cross multiply
    509,667.48x = 764,530.38 × 154,693.08
  4. Step 4: Simplify right side
    509,667.48x = 118,267,559,235.77
  5. Step 5: Solve for x
    x = 118,267,559,235.77/509,667.48
  6. Step 6: Final answer
    x = 232,048.47

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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.