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Finding the Fourth Proportional to 586,611.85, 809,106.09 and 538,369.21

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Solution

The fourth proportional to 586,611.85, 809,106.09 and 538,369.21 is: 742,565.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,611.85 : 809,106.09 = 538,369.21 : x
  2. Step 2: Convert to fraction form
    586,611.85/809,106.09 = 538,369.21/x
  3. Step 3: Cross multiply
    586,611.85x = 809,106.09 × 538,369.21
  4. Step 4: Simplify right side
    586,611.85x = 435,597,806,479.49
  5. Step 5: Solve for x
    x = 435,597,806,479.49/586,611.85
  6. Step 6: Final answer
    x = 742,565.64

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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.