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Finding the Fourth Proportional to 546,877.70, 820,316.55 and 489,304.93

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Solution

The fourth proportional to 546,877.70, 820,316.55 and 489,304.93 is: 733,957.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,877.70 : 820,316.55 = 489,304.93 : x
  2. Step 2: Convert to fraction form
    546,877.70/820,316.55 = 489,304.93/x
  3. Step 3: Cross multiply
    546,877.70x = 820,316.55 × 489,304.93
  4. Step 4: Simplify right side
    546,877.70x = 401,384,932,075.59
  5. Step 5: Solve for x
    x = 401,384,932,075.59/546,877.70
  6. Step 6: Final answer
    x = 733,957.40

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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.