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Finding the Fourth Proportional to 475,248.60, 713,064.90 and 209,059.80

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Solution

The fourth proportional to 475,248.60, 713,064.90 and 209,059.80 is: 313,674.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,248.60 : 713,064.90 = 209,059.80 : x
  2. Step 2: Convert to fraction form
    475,248.60/713,064.90 = 209,059.80/x
  3. Step 3: Cross multiply
    475,248.60x = 713,064.90 × 209,059.80
  4. Step 4: Simplify right side
    475,248.60x = 149,073,205,381.02
  5. Step 5: Solve for x
    x = 149,073,205,381.02/475,248.60
  6. Step 6: Final answer
    x = 313,674.16

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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.