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Finding the Fourth Proportional to 430,051.77, 645,208.92 and 219,837.33

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Solution

The fourth proportional to 430,051.77, 645,208.92 and 219,837.33 is: 329,823.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,051.77 : 645,208.92 = 219,837.33 : x
  2. Step 2: Convert to fraction form
    430,051.77/645,208.92 = 219,837.33/x
  3. Step 3: Cross multiply
    430,051.77x = 645,208.92 × 219,837.33
  4. Step 4: Simplify right side
    430,051.77x = 141,841,006,264.98
  5. Step 5: Solve for x
    x = 141,841,006,264.98/430,051.77
  6. Step 6: Final answer
    x = 329,823.10

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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.