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Finding the Fourth Proportional to 388,225.98, 581,924.25 and 277,081.02

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Solution

The fourth proportional to 388,225.98, 581,924.25 and 277,081.02 is: 415,325.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,225.98 : 581,924.25 = 277,081.02 : x
  2. Step 2: Convert to fraction form
    388,225.98/581,924.25 = 277,081.02/x
  3. Step 3: Cross multiply
    388,225.98x = 581,924.25 × 277,081.02
  4. Step 4: Simplify right side
    388,225.98x = 161,240,164,752.74
  5. Step 5: Solve for x
    x = 161,240,164,752.74/388,225.98
  6. Step 6: Final answer
    x = 415,325.54

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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.