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Finding the Fourth Proportional to 346,471.80, 519,634.80 and 146,798.70

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Solution

The fourth proportional to 346,471.80, 519,634.80 and 146,798.70 is: 220,167.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,471.80 : 519,634.80 = 146,798.70 : x
  2. Step 2: Convert to fraction form
    346,471.80/519,634.80 = 146,798.70/x
  3. Step 3: Cross multiply
    346,471.80x = 519,634.80 × 146,798.70
  4. Step 4: Simplify right side
    346,471.80x = 76,281,713,114.76
  5. Step 5: Solve for x
    x = 76,281,713,114.76/346,471.80
  6. Step 6: Final answer
    x = 220,167.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.