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Finding the Fourth Proportional to 433,039.50, 597,856.95 and 282,398.94

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Solution

The fourth proportional to 433,039.50, 597,856.95 and 282,398.94 is: 389,881.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,039.50 : 597,856.95 = 282,398.94 : x
  2. Step 2: Convert to fraction form
    433,039.50/597,856.95 = 282,398.94/x
  3. Step 3: Cross multiply
    433,039.50x = 597,856.95 × 282,398.94
  4. Step 4: Simplify right side
    433,039.50x = 168,834,168,951.63
  5. Step 5: Solve for x
    x = 168,834,168,951.63/433,039.50
  6. Step 6: Final answer
    x = 389,881.68

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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.