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Finding the Fourth Proportional to 407,590.96, 562,472.40 and 223,827.52

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Solution

The fourth proportional to 407,590.96, 562,472.40 and 223,827.52 is: 308,880.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,590.96 : 562,472.40 = 223,827.52 : x
  2. Step 2: Convert to fraction form
    407,590.96/562,472.40 = 223,827.52/x
  3. Step 3: Cross multiply
    407,590.96x = 562,472.40 × 223,827.52
  4. Step 4: Simplify right side
    407,590.96x = 125,896,802,360.45
  5. Step 5: Solve for x
    x = 125,896,802,360.45/407,590.96
  6. Step 6: Final answer
    x = 308,880.26

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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.