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Finding the Fourth Proportional to 459,006, 633,487.68 and 257,802

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Solution

The fourth proportional to 459,006, 633,487.68 and 257,802 is: 355,800.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,006 : 633,487.68 = 257,802 : x
  2. Step 2: Convert to fraction form
    459,006/633,487.68 = 257,802/x
  3. Step 3: Cross multiply
    459,006x = 633,487.68 × 257,802
  4. Step 4: Simplify right side
    459,006x = 163,314,390,879.36
  5. Step 5: Solve for x
    x = 163,314,390,879.36/459,006
  6. Step 6: Final answer
    x = 355,800.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.