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Finding the Fourth Proportional to 706,725.50, 975,344.45 and 416,339.73

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Solution

The fourth proportional to 706,725.50, 975,344.45 and 416,339.73 is: 574,586.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,725.50 : 975,344.45 = 416,339.73 : x
  2. Step 2: Convert to fraction form
    706,725.50/975,344.45 = 416,339.73/x
  3. Step 3: Cross multiply
    706,725.50x = 975,344.45 × 416,339.73
  4. Step 4: Simplify right side
    706,725.50x = 406,074,642,888.30
  5. Step 5: Solve for x
    x = 406,074,642,888.30/706,725.50
  6. Step 6: Final answer
    x = 574,586.10

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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.