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Finding the Fourth Proportional to 497,196.64, 745,794.51 and 123,219.64

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Solution

The fourth proportional to 497,196.64, 745,794.51 and 123,219.64 is: 184,829.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,196.64 : 745,794.51 = 123,219.64 : x
  2. Step 2: Convert to fraction form
    497,196.64/745,794.51 = 123,219.64/x
  3. Step 3: Cross multiply
    497,196.64x = 745,794.51 × 123,219.64
  4. Step 4: Simplify right side
    497,196.64x = 91,896,531,036.18
  5. Step 5: Solve for x
    x = 91,896,531,036.18/497,196.64
  6. Step 6: Final answer
    x = 184,829.35

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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.