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Finding the Fourth Proportional to 346,151.12, 477,712.53 and 193,219.07

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Solution

The fourth proportional to 346,151.12, 477,712.53 and 193,219.07 is: 266,655.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,151.12 : 477,712.53 = 193,219.07 : x
  2. Step 2: Convert to fraction form
    346,151.12/477,712.53 = 193,219.07/x
  3. Step 3: Cross multiply
    346,151.12x = 477,712.53 × 193,219.07
  4. Step 4: Simplify right side
    346,151.12x = 92,303,168,385.38
  5. Step 5: Solve for x
    x = 92,303,168,385.38/346,151.12
  6. Step 6: Final answer
    x = 266,655.70

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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.