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Finding the Fourth Proportional to 459,590.48, 689,394.36 and 144,040.40

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Solution

The fourth proportional to 459,590.48, 689,394.36 and 144,040.40 is: 216,063.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,590.48 : 689,394.36 = 144,040.40 : x
  2. Step 2: Convert to fraction form
    459,590.48/689,394.36 = 144,040.40/x
  3. Step 3: Cross multiply
    459,590.48x = 689,394.36 × 144,040.40
  4. Step 4: Simplify right side
    459,590.48x = 99,300,639,372.14
  5. Step 5: Solve for x
    x = 99,300,639,372.14/459,590.48
  6. Step 6: Final answer
    x = 216,063.31

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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.