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Finding the Fourth Proportional to 616,312.80, 924,469.20 and 413,359.20

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Solution

The fourth proportional to 616,312.80, 924,469.20 and 413,359.20 is: 620,038.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,312.80 : 924,469.20 = 413,359.20 : x
  2. Step 2: Convert to fraction form
    616,312.80/924,469.20 = 413,359.20/x
  3. Step 3: Cross multiply
    616,312.80x = 924,469.20 × 413,359.20
  4. Step 4: Simplify right side
    616,312.80x = 382,137,848,936.64
  5. Step 5: Solve for x
    x = 382,137,848,936.64/616,312.80
  6. Step 6: Final answer
    x = 620,038.80

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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.