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Finding the Fourth Proportional to 405,498.60, 559,548.62 and 224,185.71

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Solution

The fourth proportional to 405,498.60, 559,548.62 and 224,185.71 is: 309,354.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,498.60 : 559,548.62 = 224,185.71 : x
  2. Step 2: Convert to fraction form
    405,498.60/559,548.62 = 224,185.71/x
  3. Step 3: Cross multiply
    405,498.60x = 559,548.62 × 224,185.71
  4. Step 4: Simplify right side
    405,498.60x = 125,442,803,533.29
  5. Step 5: Solve for x
    x = 125,442,803,533.29/405,498.60
  6. Step 6: Final answer
    x = 309,354.47

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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.