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Finding the Fourth Proportional to 523,412.70, 784,946.25 and 168,341.82

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Solution

The fourth proportional to 523,412.70, 784,946.25 and 168,341.82 is: 252,457.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,412.70 : 784,946.25 = 168,341.82 : x
  2. Step 2: Convert to fraction form
    523,412.70/784,946.25 = 168,341.82/x
  3. Step 3: Cross multiply
    523,412.70x = 784,946.25 × 168,341.82
  4. Step 4: Simplify right side
    523,412.70x = 132,139,280,327.18
  5. Step 5: Solve for x
    x = 132,139,280,327.18/523,412.70
  6. Step 6: Final answer
    x = 252,457.15

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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.