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Finding the Fourth Proportional to 459,295.12, 688,808.76 and 178,745.68

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Solution

The fourth proportional to 459,295.12, 688,808.76 and 178,745.68 is: 268,066.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,295.12 : 688,808.76 = 178,745.68 : x
  2. Step 2: Convert to fraction form
    459,295.12/688,808.76 = 178,745.68/x
  3. Step 3: Cross multiply
    459,295.12x = 688,808.76 × 178,745.68
  4. Step 4: Simplify right side
    459,295.12x = 123,121,590,196.16
  5. Step 5: Solve for x
    x = 123,121,590,196.16/459,295.12
  6. Step 6: Final answer
    x = 268,066.40

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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.