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Finding the Fourth Proportional to 397,668.72, 596,503.08 and 144,968.16

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Solution

The fourth proportional to 397,668.72, 596,503.08 and 144,968.16 is: 217,452.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,668.72 : 596,503.08 = 144,968.16 : x
  2. Step 2: Convert to fraction form
    397,668.72/596,503.08 = 144,968.16/x
  3. Step 3: Cross multiply
    397,668.72x = 596,503.08 × 144,968.16
  4. Step 4: Simplify right side
    397,668.72x = 86,473,953,941.93
  5. Step 5: Solve for x
    x = 86,473,953,941.93/397,668.72
  6. Step 6: Final answer
    x = 217,452.24

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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.