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Finding the Fourth Proportional to 530,891.98, 732,642.14 and 289,173.98

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Solution

The fourth proportional to 530,891.98, 732,642.14 and 289,173.98 is: 399,066.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,891.98 : 732,642.14 = 289,173.98 : x
  2. Step 2: Convert to fraction form
    530,891.98/732,642.14 = 289,173.98/x
  3. Step 3: Cross multiply
    530,891.98x = 732,642.14 × 289,173.98
  4. Step 4: Simplify right side
    530,891.98x = 211,861,046,094.06
  5. Step 5: Solve for x
    x = 211,861,046,094.06/530,891.98
  6. Step 6: Final answer
    x = 399,066.20

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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.