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Finding the Fourth Proportional to 613,291.44, 920,085.12 and 192,567.24

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Solution

The fourth proportional to 613,291.44, 920,085.12 and 192,567.24 is: 288,897.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,291.44 : 920,085.12 = 192,567.24 : x
  2. Step 2: Convert to fraction form
    613,291.44/920,085.12 = 192,567.24/x
  3. Step 3: Cross multiply
    613,291.44x = 920,085.12 × 192,567.24
  4. Step 4: Simplify right side
    613,291.44x = 177,178,252,123.47
  5. Step 5: Solve for x
    x = 177,178,252,123.47/613,291.44
  6. Step 6: Final answer
    x = 288,897.32

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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.