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Finding the Fourth Proportional to 546,871.60, 820,307.40 and 334,295.20

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Solution

The fourth proportional to 546,871.60, 820,307.40 and 334,295.20 is: 501,442.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,871.60 : 820,307.40 = 334,295.20 : x
  2. Step 2: Convert to fraction form
    546,871.60/820,307.40 = 334,295.20/x
  3. Step 3: Cross multiply
    546,871.60x = 820,307.40 × 334,295.20
  4. Step 4: Simplify right side
    546,871.60x = 274,224,826,344.48
  5. Step 5: Solve for x
    x = 274,224,826,344.48/546,871.60
  6. Step 6: Final answer
    x = 501,442.80

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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.