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Finding the Fourth Proportional to 434,628.40, 609,309.20 and 434,628.40

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Solution

The fourth proportional to 434,628.40, 609,309.20 and 434,628.40 is: 609,309.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,628.40 : 609,309.20 = 434,628.40 : x
  2. Step 2: Convert to fraction form
    434,628.40/609,309.20 = 434,628.40/x
  3. Step 3: Cross multiply
    434,628.40x = 609,309.20 × 434,628.40
  4. Step 4: Simplify right side
    434,628.40x = 264,823,082,701.28
  5. Step 5: Solve for x
    x = 264,823,082,701.28/434,628.40
  6. Step 6: Final answer
    x = 609,309.20

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.