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Finding the Fourth Proportional to 425,725.98, 637,313.88 and 410,585.34

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Solution

The fourth proportional to 425,725.98, 637,313.88 and 410,585.34 is: 614,648.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,725.98 : 637,313.88 = 410,585.34 : x
  2. Step 2: Convert to fraction form
    425,725.98/637,313.88 = 410,585.34/x
  3. Step 3: Cross multiply
    425,725.98x = 637,313.88 × 410,585.34
  4. Step 4: Simplify right side
    425,725.98x = 261,671,736,106.52
  5. Step 5: Solve for x
    x = 261,671,736,106.52/425,725.98
  6. Step 6: Final answer
    x = 614,648.27

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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.