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Finding the Fourth Proportional to 653,714.64, 980,867.68 and 333,701.20

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Solution

The fourth proportional to 653,714.64, 980,867.68 and 333,701.20 is: 500,702.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,714.64 : 980,867.68 = 333,701.20 : x
  2. Step 2: Convert to fraction form
    653,714.64/980,867.68 = 333,701.20/x
  3. Step 3: Cross multiply
    653,714.64x = 980,867.68 × 333,701.20
  4. Step 4: Simplify right side
    653,714.64x = 327,316,721,857.22
  5. Step 5: Solve for x
    x = 327,316,721,857.22/653,714.64
  6. Step 6: Final answer
    x = 500,702.76

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.