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Finding the Fourth Proportional to 264,215.60, 396,323.40 and 146,117.60

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Solution

The fourth proportional to 264,215.60, 396,323.40 and 146,117.60 is: 219,176.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,215.60 : 396,323.40 = 146,117.60 : x
  2. Step 2: Convert to fraction form
    264,215.60/396,323.40 = 146,117.60/x
  3. Step 3: Cross multiply
    264,215.60x = 396,323.40 × 146,117.60
  4. Step 4: Simplify right side
    264,215.60x = 57,909,824,031.84
  5. Step 5: Solve for x
    x = 57,909,824,031.84/264,215.60
  6. Step 6: Final answer
    x = 219,176.40

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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.