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Finding the Fourth Proportional to 407,404.30, 562,246.35 and 269,343.36

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Solution

The fourth proportional to 407,404.30, 562,246.35 and 269,343.36 is: 371,712.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,404.30 : 562,246.35 = 269,343.36 : x
  2. Step 2: Convert to fraction form
    407,404.30/562,246.35 = 269,343.36/x
  3. Step 3: Cross multiply
    407,404.30x = 562,246.35 × 269,343.36
  4. Step 4: Simplify right side
    407,404.30x = 151,437,316,898.79
  5. Step 5: Solve for x
    x = 151,437,316,898.79/407,404.30
  6. Step 6: Final answer
    x = 371,712.62

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.