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Finding the Fourth Proportional to 632,094.53, 872,527.64 and 414,317.22

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Solution

The fourth proportional to 632,094.53, 872,527.64 and 414,317.22 is: 571,913.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,094.53 : 872,527.64 = 414,317.22 : x
  2. Step 2: Convert to fraction form
    632,094.53/872,527.64 = 414,317.22/x
  3. Step 3: Cross multiply
    632,094.53x = 872,527.64 × 414,317.22
  4. Step 4: Simplify right side
    632,094.53x = 361,503,224,106.38
  5. Step 5: Solve for x
    x = 361,503,224,106.38/632,094.53
  6. Step 6: Final answer
    x = 571,913.23

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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.