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Finding the Fourth Proportional to 425,152.63, 586,683.66 and 234,166

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Solution

The fourth proportional to 425,152.63, 586,683.66 and 234,166 is: 323,134.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,152.63 : 586,683.66 = 234,166 : x
  2. Step 2: Convert to fraction form
    425,152.63/586,683.66 = 234,166/x
  3. Step 3: Cross multiply
    425,152.63x = 586,683.66 × 234,166
  4. Step 4: Simplify right side
    425,152.63x = 137,381,365,927.56
  5. Step 5: Solve for x
    x = 137,381,365,927.56/425,152.63
  6. Step 6: Final answer
    x = 323,134.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.