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Finding the Fourth Proportional to 653,006.85, 901,100.05 and 366,471.58

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Solution

The fourth proportional to 653,006.85, 901,100.05 and 366,471.58 is: 505,703.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,006.85 : 901,100.05 = 366,471.58 : x
  2. Step 2: Convert to fraction form
    653,006.85/901,100.05 = 366,471.58/x
  3. Step 3: Cross multiply
    653,006.85x = 901,100.05 × 366,471.58
  4. Step 4: Simplify right side
    653,006.85x = 330,227,559,061.58
  5. Step 5: Solve for x
    x = 330,227,559,061.58/653,006.85
  6. Step 6: Final answer
    x = 505,703.06

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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.