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Finding the Fourth Proportional to 530,999.14, 732,770.28 and 289,284.64

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Solution

The fourth proportional to 530,999.14, 732,770.28 and 289,284.64 is: 399,208.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,999.14 : 732,770.28 = 289,284.64 : x
  2. Step 2: Convert to fraction form
    530,999.14/732,770.28 = 289,284.64/x
  3. Step 3: Cross multiply
    530,999.14x = 732,770.28 × 289,284.64
  4. Step 4: Simplify right side
    530,999.14x = 211,979,186,652.50
  5. Step 5: Solve for x
    x = 211,979,186,652.50/530,999.14
  6. Step 6: Final answer
    x = 399,208.15

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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.