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Finding the Fourth Proportional to 346,052.40, 477,461.94 and 202,735.40

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Solution

The fourth proportional to 346,052.40, 477,461.94 and 202,735.40 is: 279,721.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,052.40 : 477,461.94 = 202,735.40 : x
  2. Step 2: Convert to fraction form
    346,052.40/477,461.94 = 202,735.40/x
  3. Step 3: Cross multiply
    346,052.40x = 477,461.94 × 202,735.40
  4. Step 4: Simplify right side
    346,052.40x = 96,798,437,390.68
  5. Step 5: Solve for x
    x = 96,798,437,390.68/346,052.40
  6. Step 6: Final answer
    x = 279,721.91

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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.