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Finding the Fourth Proportional to 523,952.66, 785,271.80 and 224,081.22

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Solution

The fourth proportional to 523,952.66, 785,271.80 and 224,081.22 is: 335,840.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,952.66 : 785,271.80 = 224,081.22 : x
  2. Step 2: Convert to fraction form
    523,952.66/785,271.80 = 224,081.22/x
  3. Step 3: Cross multiply
    523,952.66x = 785,271.80 × 224,081.22
  4. Step 4: Simplify right side
    523,952.66x = 175,964,662,975.60
  5. Step 5: Solve for x
    x = 175,964,662,975.60/523,952.66
  6. Step 6: Final answer
    x = 335,840.77

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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.