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Finding the Fourth Proportional to 343,386.56, 515,221.56 and 185,429

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Solution

The fourth proportional to 343,386.56, 515,221.56 and 185,429 is: 278,220.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,386.56 : 515,221.56 = 185,429 : x
  2. Step 2: Convert to fraction form
    343,386.56/515,221.56 = 185,429/x
  3. Step 3: Cross multiply
    343,386.56x = 515,221.56 × 185,429
  4. Step 4: Simplify right side
    343,386.56x = 95,537,018,649.24
  5. Step 5: Solve for x
    x = 95,537,018,649.24/343,386.56
  6. Step 6: Final answer
    x = 278,220.03

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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.