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Finding the Fourth Proportional to 532,946.34, 735,434.60 and 291,180.78

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Solution

The fourth proportional to 532,946.34, 735,434.60 and 291,180.78 is: 401,812.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,946.34 : 735,434.60 = 291,180.78 : x
  2. Step 2: Convert to fraction form
    532,946.34/735,434.60 = 291,180.78/x
  3. Step 3: Cross multiply
    532,946.34x = 735,434.60 × 291,180.78
  4. Step 4: Simplify right side
    532,946.34x = 214,144,420,466.99
  5. Step 5: Solve for x
    x = 214,144,420,466.99/532,946.34
  6. Step 6: Final answer
    x = 401,812.35

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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.