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Finding the Fourth Proportional to 393,151.44, 542,547.72 and 214,303.44

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Solution

The fourth proportional to 393,151.44, 542,547.72 and 214,303.44 is: 295,738.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,151.44 : 542,547.72 = 214,303.44 : x
  2. Step 2: Convert to fraction form
    393,151.44/542,547.72 = 214,303.44/x
  3. Step 3: Cross multiply
    393,151.44x = 542,547.72 × 214,303.44
  4. Step 4: Simplify right side
    393,151.44x = 116,269,842,760.16
  5. Step 5: Solve for x
    x = 116,269,842,760.16/393,151.44
  6. Step 6: Final answer
    x = 295,738.06

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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.