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Finding the Fourth Proportional to 556,307.16, 834,495.96 and 214,913.40

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Solution

The fourth proportional to 556,307.16, 834,495.96 and 214,913.40 is: 322,383.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,307.16 : 834,495.96 = 214,913.40 : x
  2. Step 2: Convert to fraction form
    556,307.16/834,495.96 = 214,913.40/x
  3. Step 3: Cross multiply
    556,307.16x = 834,495.96 × 214,913.40
  4. Step 4: Simplify right side
    556,307.16x = 179,344,364,049.86
  5. Step 5: Solve for x
    x = 179,344,364,049.86/556,307.16
  6. Step 6: Final answer
    x = 322,383.71

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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.