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Finding the Fourth Proportional to 357,155.80, 535,733.70 and 278,329

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Solution

The fourth proportional to 357,155.80, 535,733.70 and 278,329 is: 417,493.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,155.80 : 535,733.70 = 278,329 : x
  2. Step 2: Convert to fraction form
    357,155.80/535,733.70 = 278,329/x
  3. Step 3: Cross multiply
    357,155.80x = 535,733.70 × 278,329
  4. Step 4: Simplify right side
    357,155.80x = 149,110,224,987.30
  5. Step 5: Solve for x
    x = 149,110,224,987.30/357,155.80
  6. Step 6: Final answer
    x = 417,493.50

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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.