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Finding the Fourth Proportional to 530,897.76, 733,355.64 and 424,216.44

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Solution

The fourth proportional to 530,897.76, 733,355.64 and 424,216.44 is: 585,991.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,897.76 : 733,355.64 = 424,216.44 : x
  2. Step 2: Convert to fraction form
    530,897.76/733,355.64 = 424,216.44/x
  3. Step 3: Cross multiply
    530,897.76x = 733,355.64 × 424,216.44
  4. Step 4: Simplify right side
    530,897.76x = 311,101,518,854.72
  5. Step 5: Solve for x
    x = 311,101,518,854.72/530,897.76
  6. Step 6: Final answer
    x = 585,991.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.