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Finding the Fourth Proportional to 459,322.52, 688,939.24 and 139,477.16

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Solution

The fourth proportional to 459,322.52, 688,939.24 and 139,477.16 is: 209,202.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,322.52 : 688,939.24 = 139,477.16 : x
  2. Step 2: Convert to fraction form
    459,322.52/688,939.24 = 139,477.16/x
  3. Step 3: Cross multiply
    459,322.52x = 688,939.24 × 139,477.16
  4. Step 4: Simplify right side
    459,322.52x = 96,091,289,919.99
  5. Step 5: Solve for x
    x = 96,091,289,919.99/459,322.52
  6. Step 6: Final answer
    x = 209,202.22

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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.