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Finding the Fourth Proportional to 459,790.44, 689,684.88 and 144,271.92

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Solution

The fourth proportional to 459,790.44, 689,684.88 and 144,271.92 is: 216,407.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,790.44 : 689,684.88 = 144,271.92 : x
  2. Step 2: Convert to fraction form
    459,790.44/689,684.88 = 144,271.92/x
  3. Step 3: Cross multiply
    459,790.44x = 689,684.88 × 144,271.92
  4. Step 4: Simplify right side
    459,790.44x = 99,502,161,832.57
  5. Step 5: Solve for x
    x = 99,502,161,832.57/459,790.44
  6. Step 6: Final answer
    x = 216,407.64

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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.