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Finding the Fourth Proportional to 459,532.63, 689,298.54 and 144,014.14

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Solution

The fourth proportional to 459,532.63, 689,298.54 and 144,014.14 is: 216,021.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,532.63 : 689,298.54 = 144,014.14 : x
  2. Step 2: Convert to fraction form
    459,532.63/689,298.54 = 144,014.14/x
  3. Step 3: Cross multiply
    459,532.63x = 689,298.54 × 144,014.14
  4. Step 4: Simplify right side
    459,532.63x = 99,268,736,441.36
  5. Step 5: Solve for x
    x = 99,268,736,441.36/459,532.63
  6. Step 6: Final answer
    x = 216,021.08

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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.