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Finding the Fourth Proportional to 434,638.41, 651,950.69 and 119,095.32

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Solution

The fourth proportional to 434,638.41, 651,950.69 and 119,095.32 is: 178,641.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,638.41 : 651,950.69 = 119,095.32 : x
  2. Step 2: Convert to fraction form
    434,638.41/651,950.69 = 119,095.32/x
  3. Step 3: Cross multiply
    434,638.41x = 651,950.69 × 119,095.32
  4. Step 4: Simplify right side
    434,638.41x = 77,644,275,454.29
  5. Step 5: Solve for x
    x = 77,644,275,454.29/434,638.41
  6. Step 6: Final answer
    x = 178,641.08

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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.