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Finding the Fourth Proportional to 400,259.18, 600,595.72 and 175,777.40

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Solution

The fourth proportional to 400,259.18, 600,595.72 and 175,777.40 is: 263,756.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,259.18 : 600,595.72 = 175,777.40 : x
  2. Step 2: Convert to fraction form
    400,259.18/600,595.72 = 175,777.40/x
  3. Step 3: Cross multiply
    400,259.18x = 600,595.72 × 175,777.40
  4. Step 4: Simplify right side
    400,259.18x = 105,571,154,112.73
  5. Step 5: Solve for x
    x = 105,571,154,112.73/400,259.18
  6. Step 6: Final answer
    x = 263,756.98

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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.