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Finding the Fourth Proportional to 510,421.36, 704,422.16 and 295,565.22

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Solution

The fourth proportional to 510,421.36, 704,422.16 and 295,565.22 is: 407,903.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,421.36 : 704,422.16 = 295,565.22 : x
  2. Step 2: Convert to fraction form
    510,421.36/704,422.16 = 295,565.22/x
  3. Step 3: Cross multiply
    510,421.36x = 704,422.16 × 295,565.22
  4. Step 4: Simplify right side
    510,421.36x = 208,202,690,693.28
  5. Step 5: Solve for x
    x = 208,202,690,693.28/510,421.36
  6. Step 6: Final answer
    x = 407,903.56

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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.