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Finding the Fourth Proportional to 395,273, 592,970.94 and 132,678.44

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Solution

The fourth proportional to 395,273, 592,970.94 and 132,678.44 is: 199,038.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,273 : 592,970.94 = 132,678.44 : x
  2. Step 2: Convert to fraction form
    395,273/592,970.94 = 132,678.44/x
  3. Step 3: Cross multiply
    395,273x = 592,970.94 × 132,678.44
  4. Step 4: Simplify right side
    395,273x = 78,674,459,284.53
  5. Step 5: Solve for x
    x = 78,674,459,284.53/395,273
  6. Step 6: Final answer
    x = 199,038.28

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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.