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Finding the Fourth Proportional to 665,302.33, 998,663.66 and 286,410.65

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Solution

The fourth proportional to 665,302.33, 998,663.66 and 286,410.65 is: 429,921.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,302.33 : 998,663.66 = 286,410.65 : x
  2. Step 2: Convert to fraction form
    665,302.33/998,663.66 = 286,410.65/x
  3. Step 3: Cross multiply
    665,302.33x = 998,663.66 × 286,410.65
  4. Step 4: Simplify right side
    665,302.33x = 286,027,906,559.93
  5. Step 5: Solve for x
    x = 286,027,906,559.93/665,302.33
  6. Step 6: Final answer
    x = 429,921.70

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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.