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Finding the Fourth Proportional to 586,727.35, 809,655.74 and 360,329.11

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Solution

The fourth proportional to 586,727.35, 809,655.74 and 360,329.11 is: 497,236.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,727.35 : 809,655.74 = 360,329.11 : x
  2. Step 2: Convert to fraction form
    586,727.35/809,655.74 = 360,329.11/x
  3. Step 3: Cross multiply
    586,727.35x = 809,655.74 × 360,329.11
  4. Step 4: Simplify right side
    586,727.35x = 291,742,532,200.59
  5. Step 5: Solve for x
    x = 291,742,532,200.59/586,727.35
  6. Step 6: Final answer
    x = 497,236.97

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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.