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Finding the Fourth Proportional to 596,619.08, 823,353 and 338,506.90

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Solution

The fourth proportional to 596,619.08, 823,353 and 338,506.90 is: 467,150.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,619.08 : 823,353 = 338,506.90 : x
  2. Step 2: Convert to fraction form
    596,619.08/823,353 = 338,506.90/x
  3. Step 3: Cross multiply
    596,619.08x = 823,353 × 338,506.90
  4. Step 4: Simplify right side
    596,619.08x = 278,710,671,635.70
  5. Step 5: Solve for x
    x = 278,710,671,635.70/596,619.08
  6. Step 6: Final answer
    x = 467,150.11

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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.