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Finding the Fourth Proportional to 460,941, 691,482.74 and 157,264.06

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Solution

The fourth proportional to 460,941, 691,482.74 and 157,264.06 is: 235,920.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,941 : 691,482.74 = 157,264.06 : x
  2. Step 2: Convert to fraction form
    460,941/691,482.74 = 157,264.06/x
  3. Step 3: Cross multiply
    460,941x = 691,482.74 × 157,264.06
  4. Step 4: Simplify right side
    460,941x = 108,745,383,112.32
  5. Step 5: Solve for x
    x = 108,745,383,112.32/460,941
  6. Step 6: Final answer
    x = 235,920.40

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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.