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Finding the Fourth Proportional to 569,622.98, 853,931.63 and 214,886.12

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Solution

The fourth proportional to 569,622.98, 853,931.63 and 214,886.12 is: 322,139.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,622.98 : 853,931.63 = 214,886.12 : x
  2. Step 2: Convert to fraction form
    569,622.98/853,931.63 = 214,886.12/x
  3. Step 3: Cross multiply
    569,622.98x = 853,931.63 × 214,886.12
  4. Step 4: Simplify right side
    569,622.98x = 183,498,050,983.53
  5. Step 5: Solve for x
    x = 183,498,050,983.53/569,622.98
  6. Step 6: Final answer
    x = 322,139.48

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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.