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Finding the Fourth Proportional to 934,065, 1,289,011.16 and 531,657

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Solution

The fourth proportional to 934,065, 1,289,011.16 and 531,657 is: 733,687.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    934,065 : 1,289,011.16 = 531,657 : x
  2. Step 2: Convert to fraction form
    934,065/1,289,011.16 = 531,657/x
  3. Step 3: Cross multiply
    934,065x = 1,289,011.16 × 531,657
  4. Step 4: Simplify right side
    934,065x = 685,311,806,292.12
  5. Step 5: Solve for x
    x = 685,311,806,292.12/934,065
  6. Step 6: Final answer
    x = 733,687.49

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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.