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Finding the Fourth Proportional to 584,682.61, 877,054.87 and 185,354.53

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Solution

The fourth proportional to 584,682.61, 877,054.87 and 185,354.53 is: 278,041.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,682.61 : 877,054.87 = 185,354.53 : x
  2. Step 2: Convert to fraction form
    584,682.61/877,054.87 = 185,354.53/x
  3. Step 3: Cross multiply
    584,682.61x = 877,054.87 × 185,354.53
  4. Step 4: Simplify right side
    584,682.61x = 162,566,093,213.06
  5. Step 5: Solve for x
    x = 162,566,093,213.06/584,682.61
  6. Step 6: Final answer
    x = 278,041.61

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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.