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Finding the Fourth Proportional to 506,145.08, 698,452.80 and 279,776

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Solution

The fourth proportional to 506,145.08, 698,452.80 and 279,776 is: 386,075.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,145.08 : 698,452.80 = 279,776 : x
  2. Step 2: Convert to fraction form
    506,145.08/698,452.80 = 279,776/x
  3. Step 3: Cross multiply
    506,145.08x = 698,452.80 × 279,776
  4. Step 4: Simplify right side
    506,145.08x = 195,410,330,572.80
  5. Step 5: Solve for x
    x = 195,410,330,572.80/506,145.08
  6. Step 6: Final answer
    x = 386,075.73

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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.