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Finding the Fourth Proportional to 459,202.32, 688,810.53 and 174,908.66

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Solution

The fourth proportional to 459,202.32, 688,810.53 and 174,908.66 is: 262,365.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,202.32 : 688,810.53 = 174,908.66 : x
  2. Step 2: Convert to fraction form
    459,202.32/688,810.53 = 174,908.66/x
  3. Step 3: Cross multiply
    459,202.32x = 688,810.53 × 174,908.66
  4. Step 4: Simplify right side
    459,202.32x = 120,478,923,352.14
  5. Step 5: Solve for x
    x = 120,478,923,352.14/459,202.32
  6. Step 6: Final answer
    x = 262,365.67

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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.