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Finding the Fourth Proportional to 256,021.60, 384,032.40 and 145,429.60

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Solution

The fourth proportional to 256,021.60, 384,032.40 and 145,429.60 is: 218,144.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,021.60 : 384,032.40 = 145,429.60 : x
  2. Step 2: Convert to fraction form
    256,021.60/384,032.40 = 145,429.60/x
  3. Step 3: Cross multiply
    256,021.60x = 384,032.40 × 145,429.60
  4. Step 4: Simplify right side
    256,021.60x = 55,849,678,319.04
  5. Step 5: Solve for x
    x = 55,849,678,319.04/256,021.60
  6. Step 6: Final answer
    x = 218,144.40

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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.