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Finding the Fourth Proportional to 462,934.90, 694,028.66 and 425,567.95

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Solution

The fourth proportional to 462,934.90, 694,028.66 and 425,567.95 is: 638,008.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,934.90 : 694,028.66 = 425,567.95 : x
  2. Step 2: Convert to fraction form
    462,934.90/694,028.66 = 425,567.95/x
  3. Step 3: Cross multiply
    462,934.90x = 694,028.66 × 425,567.95
  4. Step 4: Simplify right side
    462,934.90x = 295,356,352,166.49
  5. Step 5: Solve for x
    x = 295,356,352,166.49/462,934.90
  6. Step 6: Final answer
    x = 638,008.40

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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.