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Finding the Fourth Proportional to 714,838.32, 986,698.31 and 460,189.50

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Solution

The fourth proportional to 714,838.32, 986,698.31 and 460,189.50 is: 635,204.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,838.32 : 986,698.31 = 460,189.50 : x
  2. Step 2: Convert to fraction form
    714,838.32/986,698.31 = 460,189.50/x
  3. Step 3: Cross multiply
    714,838.32x = 986,698.31 × 460,189.50
  4. Step 4: Simplify right side
    714,838.32x = 454,068,199,628.80
  5. Step 5: Solve for x
    x = 454,068,199,628.80/714,838.32
  6. Step 6: Final answer
    x = 635,204.06

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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.