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Finding the Fourth Proportional to 418,052.16, 576,915 and 227,065.58

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Solution

The fourth proportional to 418,052.16, 576,915 and 227,065.58 is: 313,352.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,052.16 : 576,915 = 227,065.58 : x
  2. Step 2: Convert to fraction form
    418,052.16/576,915 = 227,065.58/x
  3. Step 3: Cross multiply
    418,052.16x = 576,915 × 227,065.58
  4. Step 4: Simplify right side
    418,052.16x = 130,997,539,085.70
  5. Step 5: Solve for x
    x = 130,997,539,085.70/418,052.16
  6. Step 6: Final answer
    x = 313,352.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.