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Finding the Fourth Proportional to 349,640.04, 523,332.14 and 180,928.25

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Solution

The fourth proportional to 349,640.04, 523,332.14 and 180,928.25 is: 270,808.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,640.04 : 523,332.14 = 180,928.25 : x
  2. Step 2: Convert to fraction form
    349,640.04/523,332.14 = 180,928.25/x
  3. Step 3: Cross multiply
    349,640.04x = 523,332.14 × 180,928.25
  4. Step 4: Simplify right side
    349,640.04x = 94,685,564,737.65
  5. Step 5: Solve for x
    x = 94,685,564,737.65/349,640.04
  6. Step 6: Final answer
    x = 270,808.70

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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.