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Finding the Fourth Proportional to 357,149.80, 535,724.70 and 278,323

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Solution

The fourth proportional to 357,149.80, 535,724.70 and 278,323 is: 417,484.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,149.80 : 535,724.70 = 278,323 : x
  2. Step 2: Convert to fraction form
    357,149.80/535,724.70 = 278,323/x
  3. Step 3: Cross multiply
    357,149.80x = 535,724.70 × 278,323
  4. Step 4: Simplify right side
    357,149.80x = 149,104,505,678.10
  5. Step 5: Solve for x
    x = 149,104,505,678.10/357,149.80
  6. Step 6: Final answer
    x = 417,484.50

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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.