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Finding the Fourth Proportional to 573,197, 859,814.64 and 257,654.82

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Solution

The fourth proportional to 573,197, 859,814.64 and 257,654.82 is: 386,490.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    573,197 : 859,814.64 = 257,654.82 : x
  2. Step 2: Convert to fraction form
    573,197/859,814.64 = 257,654.82/x
  3. Step 3: Cross multiply
    573,197x = 859,814.64 × 257,654.82
  4. Step 4: Simplify right side
    573,197x = 221,535,386,302.57
  5. Step 5: Solve for x
    x = 221,535,386,302.57/573,197
  6. Step 6: Final answer
    x = 386,490.83

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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.