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Finding the Fourth Proportional to 632,564.16, 872,930.88 and 346,080.48

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Solution

The fourth proportional to 632,564.16, 872,930.88 and 346,080.48 is: 477,586.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,564.16 : 872,930.88 = 346,080.48 : x
  2. Step 2: Convert to fraction form
    632,564.16/872,930.88 = 346,080.48/x
  3. Step 3: Cross multiply
    632,564.16x = 872,930.88 × 346,080.48
  4. Step 4: Simplify right side
    632,564.16x = 302,104,337,957.22
  5. Step 5: Solve for x
    x = 302,104,337,957.22/632,564.16
  6. Step 6: Final answer
    x = 477,586.87

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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.