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Finding the Fourth Proportional to 346,882.42, 478,701.31 and 193,929.11

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Solution

The fourth proportional to 346,882.42, 478,701.31 and 193,929.11 is: 267,624.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,882.42 : 478,701.31 = 193,929.11 : x
  2. Step 2: Convert to fraction form
    346,882.42/478,701.31 = 193,929.11/x
  3. Step 3: Cross multiply
    346,882.42x = 478,701.31 × 193,929.11
  4. Step 4: Simplify right side
    346,882.42x = 92,834,118,812.76
  5. Step 5: Solve for x
    x = 92,834,118,812.76/346,882.42
  6. Step 6: Final answer
    x = 267,624.16

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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.