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Finding the Fourth Proportional to 729,714.78, 1,006,996.86 and 407,430.36

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Solution

The fourth proportional to 729,714.78, 1,006,996.86 and 407,430.36 is: 562,248.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    729,714.78 : 1,006,996.86 = 407,430.36 : x
  2. Step 2: Convert to fraction form
    729,714.78/1,006,996.86 = 407,430.36/x
  3. Step 3: Cross multiply
    729,714.78x = 1,006,996.86 × 407,430.36
  4. Step 4: Simplify right side
    729,714.78x = 410,281,093,188.67
  5. Step 5: Solve for x
    x = 410,281,093,188.67/729,714.78
  6. Step 6: Final answer
    x = 562,248.57

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