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Finding the Fourth Proportional to 310,071.60, 465,107.40 and 289,076.40

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Solution

The fourth proportional to 310,071.60, 465,107.40 and 289,076.40 is: 433,614.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,071.60 : 465,107.40 = 289,076.40 : x
  2. Step 2: Convert to fraction form
    310,071.60/465,107.40 = 289,076.40/x
  3. Step 3: Cross multiply
    310,071.60x = 465,107.40 × 289,076.40
  4. Step 4: Simplify right side
    310,071.60x = 134,451,572,805.36
  5. Step 5: Solve for x
    x = 134,451,572,805.36/310,071.60
  6. Step 6: Final answer
    x = 433,614.60

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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.