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Finding the Fourth Proportional to 458,952.12, 633,584.16 and 286,965.72

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Solution

The fourth proportional to 458,952.12, 633,584.16 and 286,965.72 is: 396,156.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,952.12 : 633,584.16 = 286,965.72 : x
  2. Step 2: Convert to fraction form
    458,952.12/633,584.16 = 286,965.72/x
  3. Step 3: Cross multiply
    458,952.12x = 633,584.16 × 286,965.72
  4. Step 4: Simplify right side
    458,952.12x = 181,816,934,655.00
  5. Step 5: Solve for x
    x = 181,816,934,655.00/458,952.12
  6. Step 6: Final answer
    x = 396,156.65

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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.