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Finding the Fourth Proportional to 312,823.60, 469,235.40 and 155,359.60

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Solution

The fourth proportional to 312,823.60, 469,235.40 and 155,359.60 is: 233,039.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,823.60 : 469,235.40 = 155,359.60 : x
  2. Step 2: Convert to fraction form
    312,823.60/469,235.40 = 155,359.60/x
  3. Step 3: Cross multiply
    312,823.60x = 469,235.40 × 155,359.60
  4. Step 4: Simplify right side
    312,823.60x = 72,900,224,049.84
  5. Step 5: Solve for x
    x = 72,900,224,049.84/312,823.60
  6. Step 6: Final answer
    x = 233,039.40

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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.