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Finding the Fourth Proportional to 459,762.88, 634,462.82 and 266,178.75

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Solution

The fourth proportional to 459,762.88, 634,462.82 and 266,178.75 is: 367,320.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,762.88 : 634,462.82 = 266,178.75 : x
  2. Step 2: Convert to fraction form
    459,762.88/634,462.82 = 266,178.75/x
  3. Step 3: Cross multiply
    459,762.88x = 634,462.82 × 266,178.75
  4. Step 4: Simplify right side
    459,762.88x = 168,880,520,349.08
  5. Step 5: Solve for x
    x = 168,880,520,349.08/459,762.88
  6. Step 6: Final answer
    x = 367,320.91

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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.