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Finding the Fourth Proportional to 706,757.84, 975,728.04 and 465,740.72

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Solution

The fourth proportional to 706,757.84, 975,728.04 and 465,740.72 is: 642,987.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,757.84 : 975,728.04 = 465,740.72 : x
  2. Step 2: Convert to fraction form
    706,757.84/975,728.04 = 465,740.72/x
  3. Step 3: Cross multiply
    706,757.84x = 975,728.04 × 465,740.72
  4. Step 4: Simplify right side
    706,757.84x = 454,436,279,873.79
  5. Step 5: Solve for x
    x = 454,436,279,873.79/706,757.84
  6. Step 6: Final answer
    x = 642,987.25

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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.