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Finding the Fourth Proportional to 735,386, 1,102,564.46 and 375,668.24

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Solution

The fourth proportional to 735,386, 1,102,564.46 and 375,668.24 is: 563,239.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    735,386 : 1,102,564.46 = 375,668.24 : x
  2. Step 2: Convert to fraction form
    735,386/1,102,564.46 = 375,668.24/x
  3. Step 3: Cross multiply
    735,386x = 1,102,564.46 × 375,668.24
  4. Step 4: Simplify right side
    735,386x = 414,198,450,174.75
  5. Step 5: Solve for x
    x = 414,198,450,174.75/735,386
  6. Step 6: Final answer
    x = 563,239.51

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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.