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Finding the Fourth Proportional to 475,006.14, 712,989.32 and 421,322.80

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Solution

The fourth proportional to 475,006.14, 712,989.32 and 421,322.80 is: 632,410.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,006.14 : 712,989.32 = 421,322.80 : x
  2. Step 2: Convert to fraction form
    475,006.14/712,989.32 = 421,322.80/x
  3. Step 3: Cross multiply
    475,006.14x = 712,989.32 × 421,322.80
  4. Step 4: Simplify right side
    475,006.14x = 300,398,656,672.50
  5. Step 5: Solve for x
    x = 300,398,656,672.50/475,006.14
  6. Step 6: Final answer
    x = 632,410.05

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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.