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Finding the Fourth Proportional to 586,708.35, 809,629.50 and 360,310.11

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Solution

The fourth proportional to 586,708.35, 809,629.50 and 360,310.11 is: 497,210.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,708.35 : 809,629.50 = 360,310.11 : x
  2. Step 2: Convert to fraction form
    586,708.35/809,629.50 = 360,310.11/x
  3. Step 3: Cross multiply
    586,708.35x = 809,629.50 × 360,310.11
  4. Step 4: Simplify right side
    586,708.35x = 291,717,694,204.25
  5. Step 5: Solve for x
    x = 291,717,694,204.25/586,708.35
  6. Step 6: Final answer
    x = 497,210.74

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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.