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Finding the Fourth Proportional to 653,152.94, 901,301.29 and 366,617.66

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Solution

The fourth proportional to 653,152.94, 901,301.29 and 366,617.66 is: 505,904.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,152.94 : 901,301.29 = 366,617.66 : x
  2. Step 2: Convert to fraction form
    653,152.94/901,301.29 = 366,617.66/x
  3. Step 3: Cross multiply
    653,152.94x = 901,301.29 × 366,617.66
  4. Step 4: Simplify right side
    653,152.94x = 330,432,971,231.49
  5. Step 5: Solve for x
    x = 330,432,971,231.49/653,152.94
  6. Step 6: Final answer
    x = 505,904.44

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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.