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Finding the Fourth Proportional to 511,798.68, 706,284.53 and 282,358.69

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Solution

The fourth proportional to 511,798.68, 706,284.53 and 282,358.69 is: 389,656.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,798.68 : 706,284.53 = 282,358.69 : x
  2. Step 2: Convert to fraction form
    511,798.68/706,284.53 = 282,358.69/x
  3. Step 3: Cross multiply
    511,798.68x = 706,284.53 × 282,358.69
  4. Step 4: Simplify right side
    511,798.68x = 199,425,572,539.41
  5. Step 5: Solve for x
    x = 199,425,572,539.41/511,798.68
  6. Step 6: Final answer
    x = 389,656.29

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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.