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Finding the Fourth Proportional to 434,683.41, 651,955.14 and 119,066.55

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Solution

The fourth proportional to 434,683.41, 651,955.14 and 119,066.55 is: 178,580.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,683.41 : 651,955.14 = 119,066.55 : x
  2. Step 2: Convert to fraction form
    434,683.41/651,955.14 = 119,066.55/x
  3. Step 3: Cross multiply
    434,683.41x = 651,955.14 × 119,066.55
  4. Step 4: Simplify right side
    434,683.41x = 77,626,049,274.57
  5. Step 5: Solve for x
    x = 77,626,049,274.57/434,683.41
  6. Step 6: Final answer
    x = 178,580.66

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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.