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Finding the Fourth Proportional to 750,564, 1,035,472.32 and 444,412.80

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Solution

The fourth proportional to 750,564, 1,035,472.32 and 444,412.80 is: 613,108.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    750,564 : 1,035,472.32 = 444,412.80 : x
  2. Step 2: Convert to fraction form
    750,564/1,035,472.32 = 444,412.80/x
  3. Step 3: Cross multiply
    750,564x = 1,035,472.32 × 444,412.80
  4. Step 4: Simplify right side
    750,564x = 460,177,153,053.70
  5. Step 5: Solve for x
    x = 460,177,153,053.70/750,564
  6. Step 6: Final answer
    x = 613,108.48

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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.