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Finding the Fourth Proportional to 397,881.32, 596,931.26 and 117,398.57

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Solution

The fourth proportional to 397,881.32, 596,931.26 and 117,398.57 is: 176,130.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,881.32 : 596,931.26 = 117,398.57 : x
  2. Step 2: Convert to fraction form
    397,881.32/596,931.26 = 117,398.57/x
  3. Step 3: Cross multiply
    397,881.32x = 596,931.26 × 117,398.57
  4. Step 4: Simplify right side
    397,881.32x = 70,078,872,740.65
  5. Step 5: Solve for x
    x = 70,078,872,740.65/397,881.32
  6. Step 6: Final answer
    x = 176,130.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.