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Finding the Fourth Proportional to 704,829, 972,296.46 and 432,958.14

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Solution

The fourth proportional to 704,829, 972,296.46 and 432,958.14 is: 597,256.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,829 : 972,296.46 = 432,958.14 : x
  2. Step 2: Convert to fraction form
    704,829/972,296.46 = 432,958.14/x
  3. Step 3: Cross multiply
    704,829x = 972,296.46 × 432,958.14
  4. Step 4: Simplify right side
    704,829x = 420,963,666,850.18
  5. Step 5: Solve for x
    x = 420,963,666,850.18/704,829
  6. Step 6: Final answer
    x = 597,256.45

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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.