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Finding the Fourth Proportional to 365,215.30, 546,838.80 and 286,483.30

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Solution

The fourth proportional to 365,215.30, 546,838.80 and 286,483.30 is: 428,952.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,215.30 : 546,838.80 = 286,483.30 : x
  2. Step 2: Convert to fraction form
    365,215.30/546,838.80 = 286,483.30/x
  3. Step 3: Cross multiply
    365,215.30x = 546,838.80 × 286,483.30
  4. Step 4: Simplify right side
    365,215.30x = 156,660,183,992.04
  5. Step 5: Solve for x
    x = 156,660,183,992.04/365,215.30
  6. Step 6: Final answer
    x = 428,952.96

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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.