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Finding the Fourth Proportional to 632,944.28, 873,463.38 and 346,466

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Solution

The fourth proportional to 632,944.28, 873,463.38 and 346,466 is: 478,123.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,944.28 : 873,463.38 = 346,466 : x
  2. Step 2: Convert to fraction form
    632,944.28/873,463.38 = 346,466/x
  3. Step 3: Cross multiply
    632,944.28x = 873,463.38 × 346,466
  4. Step 4: Simplify right side
    632,944.28x = 302,625,363,415.08
  5. Step 5: Solve for x
    x = 302,625,363,415.08/632,944.28
  6. Step 6: Final answer
    x = 478,123.23

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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.