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Finding the Fourth Proportional to 457,714.70, 631,666.28 and 253,752.65

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Solution

The fourth proportional to 457,714.70, 631,666.28 and 253,752.65 is: 350,189.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,714.70 : 631,666.28 = 253,752.65 : x
  2. Step 2: Convert to fraction form
    457,714.70/631,666.28 = 253,752.65/x
  3. Step 3: Cross multiply
    457,714.70x = 631,666.28 × 253,752.65
  4. Step 4: Simplify right side
    457,714.70x = 160,286,992,465.64
  5. Step 5: Solve for x
    x = 160,286,992,465.64/457,714.70
  6. Step 6: Final answer
    x = 350,189.74

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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.