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Finding the Fourth Proportional to 453,886.80, 680,830.20 and 430,558.80

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Solution

The fourth proportional to 453,886.80, 680,830.20 and 430,558.80 is: 645,838.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,886.80 : 680,830.20 = 430,558.80 : x
  2. Step 2: Convert to fraction form
    453,886.80/680,830.20 = 430,558.80/x
  3. Step 3: Cross multiply
    453,886.80x = 680,830.20 × 430,558.80
  4. Step 4: Simplify right side
    453,886.80x = 293,137,433,915.76
  5. Step 5: Solve for x
    x = 293,137,433,915.76/453,886.80
  6. Step 6: Final answer
    x = 645,838.20

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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.