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Finding the Fourth Proportional to 415,404.60, 623,106.90 and 310,428.60

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Solution

The fourth proportional to 415,404.60, 623,106.90 and 310,428.60 is: 465,642.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,404.60 : 623,106.90 = 310,428.60 : x
  2. Step 2: Convert to fraction form
    415,404.60/623,106.90 = 310,428.60/x
  3. Step 3: Cross multiply
    415,404.60x = 623,106.90 × 310,428.60
  4. Step 4: Simplify right side
    415,404.60x = 193,430,202,617.34
  5. Step 5: Solve for x
    x = 193,430,202,617.34/415,404.60
  6. Step 6: Final answer
    x = 465,642.90

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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.