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Finding the Fourth Proportional to 406,534.43, 610,681.57 and 264,306.56

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Solution

The fourth proportional to 406,534.43, 610,681.57 and 264,306.56 is: 397,031.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,534.43 : 610,681.57 = 264,306.56 : x
  2. Step 2: Convert to fraction form
    406,534.43/610,681.57 = 264,306.56/x
  3. Step 3: Cross multiply
    406,534.43x = 610,681.57 × 264,306.56
  4. Step 4: Simplify right side
    406,534.43x = 161,407,141,307.93
  5. Step 5: Solve for x
    x = 161,407,141,307.93/406,534.43
  6. Step 6: Final answer
    x = 397,031.91

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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.