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Finding the Fourth Proportional to 714,839.81, 986,700.38 and 460,191

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Solution

The fourth proportional to 714,839.81, 986,700.38 and 460,191 is: 635,206.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,839.81 : 986,700.38 = 460,191 : x
  2. Step 2: Convert to fraction form
    714,839.81/986,700.38 = 460,191/x
  3. Step 3: Cross multiply
    714,839.81x = 986,700.38 × 460,191
  4. Step 4: Simplify right side
    714,839.81x = 454,070,632,271.63
  5. Step 5: Solve for x
    x = 454,070,632,271.63/714,839.81
  6. Step 6: Final answer
    x = 635,206.13

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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.