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Finding the Fourth Proportional to 401,216.40, 560,653.20 and 401,216.40

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Solution

The fourth proportional to 401,216.40, 560,653.20 and 401,216.40 is: 560,653.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,216.40 : 560,653.20 = 401,216.40 : x
  2. Step 2: Convert to fraction form
    401,216.40/560,653.20 = 401,216.40/x
  3. Step 3: Cross multiply
    401,216.40x = 560,653.20 × 401,216.40
  4. Step 4: Simplify right side
    401,216.40x = 224,943,258,552.48
  5. Step 5: Solve for x
    x = 224,943,258,552.48/401,216.40
  6. Step 6: Final answer
    x = 560,653.20

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.