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Finding the Fourth Proportional to 536,897.60, 804,424.80 and 349,812.80

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Solution

The fourth proportional to 536,897.60, 804,424.80 and 349,812.80 is: 524,118.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,897.60 : 804,424.80 = 349,812.80 : x
  2. Step 2: Convert to fraction form
    536,897.60/804,424.80 = 349,812.80/x
  3. Step 3: Cross multiply
    536,897.60x = 804,424.80 × 349,812.80
  4. Step 4: Simplify right side
    536,897.60x = 281,398,091,677.44
  5. Step 5: Solve for x
    x = 281,398,091,677.44/536,897.60
  6. Step 6: Final answer
    x = 524,118.74

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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.