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Finding the Fourth Proportional to 921,188.16, 1,381,782.24 and 359,829

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Solution

The fourth proportional to 921,188.16, 1,381,782.24 and 359,829 is: 539,743.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    921,188.16 : 1,381,782.24 = 359,829 : x
  2. Step 2: Convert to fraction form
    921,188.16/1,381,782.24 = 359,829/x
  3. Step 3: Cross multiply
    921,188.16x = 1,381,782.24 × 359,829
  4. Step 4: Simplify right side
    921,188.16x = 497,205,321,636.96
  5. Step 5: Solve for x
    x = 497,205,321,636.96/921,188.16
  6. Step 6: Final answer
    x = 539,743.50

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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.