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Finding the Fourth Proportional to 475,658.07, 656,428.64 and 284,634.69

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Solution

The fourth proportional to 475,658.07, 656,428.64 and 284,634.69 is: 392,808.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,658.07 : 656,428.64 = 284,634.69 : x
  2. Step 2: Convert to fraction form
    475,658.07/656,428.64 = 284,634.69/x
  3. Step 3: Cross multiply
    475,658.07x = 656,428.64 × 284,634.69
  4. Step 4: Simplify right side
    475,658.07x = 186,842,361,030.35
  5. Step 5: Solve for x
    x = 186,842,361,030.35/475,658.07
  6. Step 6: Final answer
    x = 392,808.14

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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.