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Finding the Fourth Proportional to 347,870.60, 521,114.70 and 189,816.20

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Solution

The fourth proportional to 347,870.60, 521,114.70 and 189,816.20 is: 284,347.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,870.60 : 521,114.70 = 189,816.20 : x
  2. Step 2: Convert to fraction form
    347,870.60/521,114.70 = 189,816.20/x
  3. Step 3: Cross multiply
    347,870.60x = 521,114.70 × 189,816.20
  4. Step 4: Simplify right side
    347,870.60x = 98,916,012,118.14
  5. Step 5: Solve for x
    x = 98,916,012,118.14/347,870.60
  6. Step 6: Final answer
    x = 284,347.15

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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.