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Finding the Fourth Proportional to 409,557.90, 565,064.65 and 237,441.51

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Solution

The fourth proportional to 409,557.90, 565,064.65 and 237,441.51 is: 327,596.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,557.90 : 565,064.65 = 237,441.51 : x
  2. Step 2: Convert to fraction form
    409,557.90/565,064.65 = 237,441.51/x
  3. Step 3: Cross multiply
    409,557.90x = 565,064.65 × 237,441.51
  4. Step 4: Simplify right side
    409,557.90x = 134,169,803,743.62
  5. Step 5: Solve for x
    x = 134,169,803,743.62/409,557.90
  6. Step 6: Final answer
    x = 327,596.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.