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Finding the Fourth Proportional to 704,319.84, 971,954.18 and 382,023

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Solution

The fourth proportional to 704,319.84, 971,954.18 and 382,023 is: 527,187.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,319.84 : 971,954.18 = 382,023 : x
  2. Step 2: Convert to fraction form
    704,319.84/971,954.18 = 382,023/x
  3. Step 3: Cross multiply
    704,319.84x = 971,954.18 × 382,023
  4. Step 4: Simplify right side
    704,319.84x = 371,308,851,706.14
  5. Step 5: Solve for x
    x = 371,308,851,706.14/704,319.84
  6. Step 6: Final answer
    x = 527,187.84

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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.