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Finding the Fourth Proportional to 632,543.82, 872,909.38 and 346,063.22

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Solution

The fourth proportional to 632,543.82, 872,909.38 and 346,063.22 is: 477,566.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,543.82 : 872,909.38 = 346,063.22 : x
  2. Step 2: Convert to fraction form
    632,543.82/872,909.38 = 346,063.22/x
  3. Step 3: Cross multiply
    632,543.82x = 872,909.38 × 346,063.22
  4. Step 4: Simplify right side
    632,543.82x = 302,081,830,811.00
  5. Step 5: Solve for x
    x = 302,081,830,811.00/632,543.82
  6. Step 6: Final answer
    x = 477,566.65

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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.