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Finding the Fourth Proportional to 364,038.30, 546,057.45 and 287,930.70

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Solution

The fourth proportional to 364,038.30, 546,057.45 and 287,930.70 is: 431,896.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,038.30 : 546,057.45 = 287,930.70 : x
  2. Step 2: Convert to fraction form
    364,038.30/546,057.45 = 287,930.70/x
  3. Step 3: Cross multiply
    364,038.30x = 546,057.45 × 287,930.70
  4. Step 4: Simplify right side
    364,038.30x = 157,226,703,818.72
  5. Step 5: Solve for x
    x = 157,226,703,818.72/364,038.30
  6. Step 6: Final answer
    x = 431,896.05

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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.