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Finding the Fourth Proportional to 532,674.56, 735,058.32 and 290,908.16

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Solution

The fourth proportional to 532,674.56, 735,058.32 and 290,908.16 is: 401,435.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,674.56 : 735,058.32 = 290,908.16 : x
  2. Step 2: Convert to fraction form
    532,674.56/735,058.32 = 290,908.16/x
  3. Step 3: Cross multiply
    532,674.56x = 735,058.32 × 290,908.16
  4. Step 4: Simplify right side
    532,674.56x = 213,834,463,363.89
  5. Step 5: Solve for x
    x = 213,834,463,363.89/532,674.56
  6. Step 6: Final answer
    x = 401,435.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.