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Finding the Fourth Proportional to 586,741.98, 809,675.92 and 360,343.74

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Solution

The fourth proportional to 586,741.98, 809,675.92 and 360,343.74 is: 497,257.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,741.98 : 809,675.92 = 360,343.74 : x
  2. Step 2: Convert to fraction form
    586,741.98/809,675.92 = 360,343.74/x
  3. Step 3: Cross multiply
    586,741.98x = 809,675.92 × 360,343.74
  4. Step 4: Simplify right side
    586,741.98x = 291,761,649,200.74
  5. Step 5: Solve for x
    x = 291,761,649,200.74/586,741.98
  6. Step 6: Final answer
    x = 497,257.16

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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.