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Finding the Fourth Proportional to 459,554.96, 689,332.68 and 210,062

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Solution

The fourth proportional to 459,554.96, 689,332.68 and 210,062 is: 315,093.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,554.96 : 689,332.68 = 210,062 : x
  2. Step 2: Convert to fraction form
    459,554.96/689,332.68 = 210,062/x
  3. Step 3: Cross multiply
    459,554.96x = 689,332.68 × 210,062
  4. Step 4: Simplify right side
    459,554.96x = 144,802,601,426.16
  5. Step 5: Solve for x
    x = 144,802,601,426.16/459,554.96
  6. Step 6: Final answer
    x = 315,093.11

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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.