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Finding the Fourth Proportional to 632,256.81, 872,594.07 and 414,648.48

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Solution

The fourth proportional to 632,256.81, 872,594.07 and 414,648.48 is: 572,267.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,256.81 : 872,594.07 = 414,648.48 : x
  2. Step 2: Convert to fraction form
    632,256.81/872,594.07 = 414,648.48/x
  3. Step 3: Cross multiply
    632,256.81x = 872,594.07 × 414,648.48
  4. Step 4: Simplify right side
    632,256.81x = 361,819,804,782.51
  5. Step 5: Solve for x
    x = 361,819,804,782.51/632,256.81
  6. Step 6: Final answer
    x = 572,267.15

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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.