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Finding the Fourth Proportional to 857,714, 1,182,870.78 and 535,453.88

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Solution

The fourth proportional to 857,714, 1,182,870.78 and 535,453.88 is: 738,442.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    857,714 : 1,182,870.78 = 535,453.88 : x
  2. Step 2: Convert to fraction form
    857,714/1,182,870.78 = 535,453.88/x
  3. Step 3: Cross multiply
    857,714x = 1,182,870.78 × 535,453.88
  4. Step 4: Simplify right side
    857,714x = 633,372,748,689.63
  5. Step 5: Solve for x
    x = 633,372,748,689.63/857,714
  6. Step 6: Final answer
    x = 738,442.82

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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.