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Finding the Fourth Proportional to 758,698.31, 1,046,991.42 and 414,526.88

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Solution

The fourth proportional to 758,698.31, 1,046,991.42 and 414,526.88 is: 572,040.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    758,698.31 : 1,046,991.42 = 414,526.88 : x
  2. Step 2: Convert to fraction form
    758,698.31/1,046,991.42 = 414,526.88/x
  3. Step 3: Cross multiply
    758,698.31x = 1,046,991.42 × 414,526.88
  4. Step 4: Simplify right side
    758,698.31x = 434,006,089,336.85
  5. Step 5: Solve for x
    x = 434,006,089,336.85/758,698.31
  6. Step 6: Final answer
    x = 572,040.40

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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.