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Finding the Fourth Proportional to 512,193.98, 706,809.16 and 282,746.34

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Solution

The fourth proportional to 512,193.98, 706,809.16 and 282,746.34 is: 390,179.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,193.98 : 706,809.16 = 282,746.34 : x
  2. Step 2: Convert to fraction form
    512,193.98/706,809.16 = 282,746.34/x
  3. Step 3: Cross multiply
    512,193.98x = 706,809.16 × 282,746.34
  4. Step 4: Simplify right side
    512,193.98x = 199,847,703,421.91
  5. Step 5: Solve for x
    x = 199,847,703,421.91/512,193.98
  6. Step 6: Final answer
    x = 390,179.72

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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.