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Finding the Fourth Proportional to 345,722.50, 477,097.05 and 186,746.50

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Solution

The fourth proportional to 345,722.50, 477,097.05 and 186,746.50 is: 257,710.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,722.50 : 477,097.05 = 186,746.50 : x
  2. Step 2: Convert to fraction form
    345,722.50/477,097.05 = 186,746.50/x
  3. Step 3: Cross multiply
    345,722.50x = 477,097.05 × 186,746.50
  4. Step 4: Simplify right side
    345,722.50x = 89,096,204,247.83
  5. Step 5: Solve for x
    x = 89,096,204,247.83/345,722.50
  6. Step 6: Final answer
    x = 257,710.17

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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.