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Finding the Fourth Proportional to 283,970.96, 391,862.16 and 156,646.40

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Solution

The fourth proportional to 283,970.96, 391,862.16 and 156,646.40 is: 216,162.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,970.96 : 391,862.16 = 156,646.40 : x
  2. Step 2: Convert to fraction form
    283,970.96/391,862.16 = 156,646.40/x
  3. Step 3: Cross multiply
    283,970.96x = 391,862.16 × 156,646.40
  4. Step 4: Simplify right side
    283,970.96x = 61,383,796,660.22
  5. Step 5: Solve for x
    x = 61,383,796,660.22/283,970.96
  6. Step 6: Final answer
    x = 216,162.23

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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.