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Finding the Fourth Proportional to 586,596.30, 809,084.72 and 538,353.74

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Solution

The fourth proportional to 586,596.30, 809,084.72 and 538,353.74 is: 742,544.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,596.30 : 809,084.72 = 538,353.74 : x
  2. Step 2: Convert to fraction form
    586,596.30/809,084.72 = 538,353.74/x
  3. Step 3: Cross multiply
    586,596.30x = 809,084.72 × 538,353.74
  4. Step 4: Simplify right side
    586,596.30x = 435,573,782,289.31
  5. Step 5: Solve for x
    x = 435,573,782,289.31/586,596.30
  6. Step 6: Final answer
    x = 742,544.37

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1.5x scale

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.