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Finding the Fourth Proportional to 395,266, 592,900.50 and 95,746

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Solution

The fourth proportional to 395,266, 592,900.50 and 95,746 is: 143,619.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,266 : 592,900.50 = 95,746 : x
  2. Step 2: Convert to fraction form
    395,266/592,900.50 = 95,746/x
  3. Step 3: Cross multiply
    395,266x = 592,900.50 × 95,746
  4. Step 4: Simplify right side
    395,266x = 56,767,851,273
  5. Step 5: Solve for x
    x = 56,767,851,273/395,266
  6. Step 6: Final answer
    x = 143,619.36

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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.