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Finding the Fourth Proportional to 459,603.54, 689,216.67 and 175,397.58

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Solution

The fourth proportional to 459,603.54, 689,216.67 and 175,397.58 is: 263,024.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,603.54 : 689,216.67 = 175,397.58 : x
  2. Step 2: Convert to fraction form
    459,603.54/689,216.67 = 175,397.58/x
  3. Step 3: Cross multiply
    459,603.54x = 689,216.67 × 175,397.58
  4. Step 4: Simplify right side
    459,603.54x = 120,886,936,013.66
  5. Step 5: Solve for x
    x = 120,886,936,013.66/459,603.54
  6. Step 6: Final answer
    x = 263,024.38

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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.