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Finding the Fourth Proportional to 465,798.96, 698,698.80 and 199,387.08

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Solution

The fourth proportional to 465,798.96, 698,698.80 and 199,387.08 is: 299,080.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,798.96 : 698,698.80 = 199,387.08 : x
  2. Step 2: Convert to fraction form
    465,798.96/698,698.80 = 199,387.08/x
  3. Step 3: Cross multiply
    465,798.96x = 698,698.80 × 199,387.08
  4. Step 4: Simplify right side
    465,798.96x = 139,311,513,531.50
  5. Step 5: Solve for x
    x = 139,311,513,531.50/465,798.96
  6. Step 6: Final answer
    x = 299,080.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.