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Finding the Fourth Proportional to 510,765, 704,748.76 and 295,892.25

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Solution

The fourth proportional to 510,765, 704,748.76 and 295,892.25 is: 408,269.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,765 : 704,748.76 = 295,892.25 : x
  2. Step 2: Convert to fraction form
    510,765/704,748.76 = 295,892.25/x
  3. Step 3: Cross multiply
    510,765x = 704,748.76 × 295,892.25
  4. Step 4: Simplify right side
    510,765x = 208,529,696,281.11
  5. Step 5: Solve for x
    x = 208,529,696,281.11/510,765
  6. Step 6: Final answer
    x = 408,269.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.