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Finding the Fourth Proportional to 459,062.45, 688,101.60 and 174,643.10

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Solution

The fourth proportional to 459,062.45, 688,101.60 and 174,643.10 is: 261,777.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,062.45 : 688,101.60 = 174,643.10 : x
  2. Step 2: Convert to fraction form
    459,062.45/688,101.60 = 174,643.10/x
  3. Step 3: Cross multiply
    459,062.45x = 688,101.60 × 174,643.10
  4. Step 4: Simplify right side
    459,062.45x = 120,172,196,538.96
  5. Step 5: Solve for x
    x = 120,172,196,538.96/459,062.45
  6. Step 6: Final answer
    x = 261,777.45

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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.