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Finding the Fourth Proportional to 314,905.80, 472,358.70 and 287,349.60

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Solution

The fourth proportional to 314,905.80, 472,358.70 and 287,349.60 is: 431,024.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,905.80 : 472,358.70 = 287,349.60 : x
  2. Step 2: Convert to fraction form
    314,905.80/472,358.70 = 287,349.60/x
  3. Step 3: Cross multiply
    314,905.80x = 472,358.70 × 287,349.60
  4. Step 4: Simplify right side
    314,905.80x = 135,732,083,501.52
  5. Step 5: Solve for x
    x = 135,732,083,501.52/314,905.80
  6. Step 6: Final answer
    x = 431,024.40

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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.