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Finding the Fourth Proportional to 742,411.38, 1,024,530.39 and 402,879.54

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Solution

The fourth proportional to 742,411.38, 1,024,530.39 and 402,879.54 is: 555,975.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    742,411.38 : 1,024,530.39 = 402,879.54 : x
  2. Step 2: Convert to fraction form
    742,411.38/1,024,530.39 = 402,879.54/x
  3. Step 3: Cross multiply
    742,411.38x = 1,024,530.39 × 402,879.54
  4. Step 4: Simplify right side
    742,411.38x = 412,762,332,239.22
  5. Step 5: Solve for x
    x = 412,762,332,239.22/742,411.38
  6. Step 6: Final answer
    x = 555,975.22

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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.