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Finding the Fourth Proportional to 646,698.18, 892,471.02 and 360,218.40

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Solution

The fourth proportional to 646,698.18, 892,471.02 and 360,218.40 is: 497,116.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,698.18 : 892,471.02 = 360,218.40 : x
  2. Step 2: Convert to fraction form
    646,698.18/892,471.02 = 360,218.40/x
  3. Step 3: Cross multiply
    646,698.18x = 892,471.02 × 360,218.40
  4. Step 4: Simplify right side
    646,698.18x = 321,484,482,870.77
  5. Step 5: Solve for x
    x = 321,484,482,870.77/646,698.18
  6. Step 6: Final answer
    x = 497,116.73

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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.