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Finding the Fourth Proportional to 357,176.80, 535,765.20 and 278,350

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Solution

The fourth proportional to 357,176.80, 535,765.20 and 278,350 is: 417,525

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,176.80 : 535,765.20 = 278,350 : x
  2. Step 2: Convert to fraction form
    357,176.80/535,765.20 = 278,350/x
  3. Step 3: Cross multiply
    357,176.80x = 535,765.20 × 278,350
  4. Step 4: Simplify right side
    357,176.80x = 149,130,243,420
  5. Step 5: Solve for x
    x = 149,130,243,420/357,176.80
  6. Step 6: Final answer
    x = 417,525

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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.