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Finding the Fourth Proportional to 704,320.84, 971,955.56 and 382,024

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Solution

The fourth proportional to 704,320.84, 971,955.56 and 382,024 is: 527,189.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,320.84 : 971,955.56 = 382,024 : x
  2. Step 2: Convert to fraction form
    704,320.84/971,955.56 = 382,024/x
  3. Step 3: Cross multiply
    704,320.84x = 971,955.56 × 382,024
  4. Step 4: Simplify right side
    704,320.84x = 371,310,350,853.44
  5. Step 5: Solve for x
    x = 371,310,350,853.44/704,320.84
  6. Step 6: Final answer
    x = 527,189.22

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1.5x scale

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.