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Finding the Fourth Proportional to 314,816.80, 472,225.20 and 283,712.80

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Solution

The fourth proportional to 314,816.80, 472,225.20 and 283,712.80 is: 425,569.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,816.80 : 472,225.20 = 283,712.80 : x
  2. Step 2: Convert to fraction form
    314,816.80/472,225.20 = 283,712.80/x
  3. Step 3: Cross multiply
    314,816.80x = 472,225.20 × 283,712.80
  4. Step 4: Simplify right side
    314,816.80x = 133,976,333,722.56
  5. Step 5: Solve for x
    x = 133,976,333,722.56/314,816.80
  6. Step 6: Final answer
    x = 425,569.20

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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.