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Finding the Fourth Proportional to 403,774.64, 557,176.58 and 234,019.72

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Solution

The fourth proportional to 403,774.64, 557,176.58 and 234,019.72 is: 322,928.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,774.64 : 557,176.58 = 234,019.72 : x
  2. Step 2: Convert to fraction form
    403,774.64/557,176.58 = 234,019.72/x
  3. Step 3: Cross multiply
    403,774.64x = 557,176.58 × 234,019.72
  4. Step 4: Simplify right side
    403,774.64x = 130,390,307,242.16
  5. Step 5: Solve for x
    x = 130,390,307,242.16/403,774.64
  6. Step 6: Final answer
    x = 322,928.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.