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Finding the Fourth Proportional to 345,607.46, 476,948.40 and 202,354.10

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Solution

The fourth proportional to 345,607.46, 476,948.40 and 202,354.10 is: 279,254.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,607.46 : 476,948.40 = 202,354.10 : x
  2. Step 2: Convert to fraction form
    345,607.46/476,948.40 = 202,354.10/x
  3. Step 3: Cross multiply
    345,607.46x = 476,948.40 × 202,354.10
  4. Step 4: Simplify right side
    345,607.46x = 96,512,464,011.67
  5. Step 5: Solve for x
    x = 96,512,464,011.67/345,607.46
  6. Step 6: Final answer
    x = 279,254.58

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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.