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Finding the Fourth Proportional to 531,210, 733,069.82 and 292,746

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Solution

The fourth proportional to 531,210, 733,069.82 and 292,746 is: 403,989.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,210 : 733,069.82 = 292,746 : x
  2. Step 2: Convert to fraction form
    531,210/733,069.82 = 292,746/x
  3. Step 3: Cross multiply
    531,210x = 733,069.82 × 292,746
  4. Step 4: Simplify right side
    531,210x = 214,603,256,061.99
  5. Step 5: Solve for x
    x = 214,603,256,061.99/531,210
  6. Step 6: Final answer
    x = 403,989.49

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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.