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Finding the Fourth Proportional to 459,371.32, 688,457.34 and 234,541.64

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Solution

The fourth proportional to 459,371.32, 688,457.34 and 234,541.64 is: 351,506.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,371.32 : 688,457.34 = 234,541.64 : x
  2. Step 2: Convert to fraction form
    459,371.32/688,457.34 = 234,541.64/x
  3. Step 3: Cross multiply
    459,371.32x = 688,457.34 × 234,541.64
  4. Step 4: Simplify right side
    459,371.32x = 161,471,915,314.78
  5. Step 5: Solve for x
    x = 161,471,915,314.78/459,371.32
  6. Step 6: Final answer
    x = 351,506.31

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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.