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Finding the Fourth Proportional to 364,392.63, 546,589.85 and 186,802.74

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Solution

The fourth proportional to 364,392.63, 546,589.85 and 186,802.74 is: 280,204.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,392.63 : 546,589.85 = 186,802.74 : x
  2. Step 2: Convert to fraction form
    364,392.63/546,589.85 = 186,802.74/x
  3. Step 3: Cross multiply
    364,392.63x = 546,589.85 × 186,802.74
  4. Step 4: Simplify right side
    364,392.63x = 102,104,480,702.18
  5. Step 5: Solve for x
    x = 102,104,480,702.18/364,392.63
  6. Step 6: Final answer
    x = 280,204.57

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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.