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Finding the Fourth Proportional to 430,915.59, 646,668.63 and 150,432.84

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Solution

The fourth proportional to 430,915.59, 646,668.63 and 150,432.84 is: 225,752.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,915.59 : 646,668.63 = 150,432.84 : x
  2. Step 2: Convert to fraction form
    430,915.59/646,668.63 = 150,432.84/x
  3. Step 3: Cross multiply
    430,915.59x = 646,668.63 × 150,432.84
  4. Step 4: Simplify right side
    430,915.59x = 97,280,198,549.81
  5. Step 5: Solve for x
    x = 97,280,198,549.81/430,915.59
  6. Step 6: Final answer
    x = 225,752.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.