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Finding the Fourth Proportional to 654,312.96, 902,952 and 367,833.60

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Solution

The fourth proportional to 654,312.96, 902,952 and 367,833.60 is: 507,610.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,312.96 : 902,952 = 367,833.60 : x
  2. Step 2: Convert to fraction form
    654,312.96/902,952 = 367,833.60/x
  3. Step 3: Cross multiply
    654,312.96x = 902,952 × 367,833.60
  4. Step 4: Simplify right side
    654,312.96x = 332,136,084,787.20
  5. Step 5: Solve for x
    x = 332,136,084,787.20/654,312.96
  6. Step 6: Final answer
    x = 507,610.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.