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Finding the Fourth Proportional to 430,115.60, 645,173.40 and 412,912.40

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Solution

The fourth proportional to 430,115.60, 645,173.40 and 412,912.40 is: 619,368.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,115.60 : 645,173.40 = 412,912.40 : x
  2. Step 2: Convert to fraction form
    430,115.60/645,173.40 = 412,912.40/x
  3. Step 3: Cross multiply
    430,115.60x = 645,173.40 × 412,912.40
  4. Step 4: Simplify right side
    430,115.60x = 266,400,097,010.16
  5. Step 5: Solve for x
    x = 266,400,097,010.16/430,115.60
  6. Step 6: Final answer
    x = 619,368.60

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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.