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Finding the Fourth Proportional to 406,665.98, 560,700.19 and 329,967.89

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Solution

The fourth proportional to 406,665.98, 560,700.19 and 329,967.89 is: 454,950.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,665.98 : 560,700.19 = 329,967.89 : x
  2. Step 2: Convert to fraction form
    406,665.98/560,700.19 = 329,967.89/x
  3. Step 3: Cross multiply
    406,665.98x = 560,700.19 × 329,967.89
  4. Step 4: Simplify right side
    406,665.98x = 185,013,054,988.48
  5. Step 5: Solve for x
    x = 185,013,054,988.48/406,665.98
  6. Step 6: Final answer
    x = 454,950.91

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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.