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Finding the Fourth Proportional to 405,698.71, 559,815.63 and 224,386.15

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Solution

The fourth proportional to 405,698.71, 559,815.63 and 224,386.15 is: 309,626.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,698.71 : 559,815.63 = 224,386.15 : x
  2. Step 2: Convert to fraction form
    405,698.71/559,815.63 = 224,386.15/x
  3. Step 3: Cross multiply
    405,698.71x = 559,815.63 × 224,386.15
  4. Step 4: Simplify right side
    405,698.71x = 125,614,873,925.52
  5. Step 5: Solve for x
    x = 125,614,873,925.52/405,698.71
  6. Step 6: Final answer
    x = 309,626.01

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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.