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Finding the Fourth Proportional to 501,733.92, 752,206.32 and 343,482.72

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Solution

The fourth proportional to 501,733.92, 752,206.32 and 343,482.72 is: 514,953.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,733.92 : 752,206.32 = 343,482.72 : x
  2. Step 2: Convert to fraction form
    501,733.92/752,206.32 = 343,482.72/x
  3. Step 3: Cross multiply
    501,733.92x = 752,206.32 × 343,482.72
  4. Step 4: Simplify right side
    501,733.92x = 258,369,872,794.79
  5. Step 5: Solve for x
    x = 258,369,872,794.79/501,733.92
  6. Step 6: Final answer
    x = 514,953.97

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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.