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Finding the Fourth Proportional to 459,498.59, 689,280.84 and 122,537.48

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Solution

The fourth proportional to 459,498.59, 689,280.84 and 122,537.48 is: 183,815.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,498.59 : 689,280.84 = 122,537.48 : x
  2. Step 2: Convert to fraction form
    459,498.59/689,280.84 = 122,537.48/x
  3. Step 3: Cross multiply
    459,498.59x = 689,280.84 × 122,537.48
  4. Step 4: Simplify right side
    459,498.59x = 84,462,733,699.48
  5. Step 5: Solve for x
    x = 84,462,733,699.48/459,498.59
  6. Step 6: Final answer
    x = 183,815.00

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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.