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Finding the Fourth Proportional to 509,501.72, 764,269.59 and 229,019.78

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Solution

The fourth proportional to 509,501.72, 764,269.59 and 229,019.78 is: 343,537.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,501.72 : 764,269.59 = 229,019.78 : x
  2. Step 2: Convert to fraction form
    509,501.72/764,269.59 = 229,019.78/x
  3. Step 3: Cross multiply
    509,501.72x = 764,269.59 × 229,019.78
  4. Step 4: Simplify right side
    509,501.72x = 175,032,853,362.49
  5. Step 5: Solve for x
    x = 175,032,853,362.49/509,501.72
  6. Step 6: Final answer
    x = 343,537.32

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1.5x scale

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.