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Finding the Fourth Proportional to 434,323.20, 651,484.80 and 418,576.80

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Solution

The fourth proportional to 434,323.20, 651,484.80 and 418,576.80 is: 627,865.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,323.20 : 651,484.80 = 418,576.80 : x
  2. Step 2: Convert to fraction form
    434,323.20/651,484.80 = 418,576.80/x
  3. Step 3: Cross multiply
    434,323.20x = 651,484.80 × 418,576.80
  4. Step 4: Simplify right side
    434,323.20x = 272,696,422,832.64
  5. Step 5: Solve for x
    x = 272,696,422,832.64/434,323.20
  6. Step 6: Final answer
    x = 627,865.20

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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.