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Finding the Fourth Proportional to 704,008, 971,133.60 and 417,246.40

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Solution

The fourth proportional to 704,008, 971,133.60 and 417,246.40 is: 575,564.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,008 : 971,133.60 = 417,246.40 : x
  2. Step 2: Convert to fraction form
    704,008/971,133.60 = 417,246.40/x
  3. Step 3: Cross multiply
    704,008x = 971,133.60 × 417,246.40
  4. Step 4: Simplify right side
    704,008x = 405,201,998,519.04
  5. Step 5: Solve for x
    x = 405,201,998,519.04/704,008
  6. Step 6: Final answer
    x = 575,564.48

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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.