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Finding the Fourth Proportional to 390,849.50, 586,124.79 and 213,261.59

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Solution

The fourth proportional to 390,849.50, 586,124.79 and 213,261.59 is: 319,810.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,849.50 : 586,124.79 = 213,261.59 : x
  2. Step 2: Convert to fraction form
    390,849.50/586,124.79 = 213,261.59/x
  3. Step 3: Cross multiply
    390,849.50x = 586,124.79 × 213,261.59
  4. Step 4: Simplify right side
    390,849.50x = 124,997,904,653.82
  5. Step 5: Solve for x
    x = 124,997,904,653.82/390,849.50
  6. Step 6: Final answer
    x = 319,810.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.