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Finding the Fourth Proportional to 312,085.60, 468,128.40 and 312,085.60

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Solution

The fourth proportional to 312,085.60, 468,128.40 and 312,085.60 is: 468,128.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,085.60 : 468,128.40 = 312,085.60 : x
  2. Step 2: Convert to fraction form
    312,085.60/468,128.40 = 312,085.60/x
  3. Step 3: Cross multiply
    312,085.60x = 468,128.40 × 312,085.60
  4. Step 4: Simplify right side
    312,085.60x = 146,096,132,591.04
  5. Step 5: Solve for x
    x = 146,096,132,591.04/312,085.60
  6. Step 6: Final answer
    x = 468,128.40

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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.