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Finding the Fourth Proportional to 540,931.22, 742,576.10 and 464,317.30

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Solution

The fourth proportional to 540,931.22, 742,576.10 and 464,317.30 is: 637,402.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,931.22 : 742,576.10 = 464,317.30 : x
  2. Step 2: Convert to fraction form
    540,931.22/742,576.10 = 464,317.30/x
  3. Step 3: Cross multiply
    540,931.22x = 742,576.10 × 464,317.30
  4. Step 4: Simplify right side
    540,931.22x = 344,790,931,885.54
  5. Step 5: Solve for x
    x = 344,790,931,885.54/540,931.22
  6. Step 6: Final answer
    x = 637,402.54

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.