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Finding the Fourth Proportional to 530,735.40, 733,347 and 424,184.76

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Solution

The fourth proportional to 530,735.40, 733,347 and 424,184.76 is: 586,119.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,735.40 : 733,347 = 424,184.76 : x
  2. Step 2: Convert to fraction form
    530,735.40/733,347 = 424,184.76/x
  3. Step 3: Cross multiply
    530,735.40x = 733,347 × 424,184.76
  4. Step 4: Simplify right side
    530,735.40x = 311,074,621,191.72
  5. Step 5: Solve for x
    x = 311,074,621,191.72/530,735.40
  6. Step 6: Final answer
    x = 586,119.98

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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.