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Finding the Fourth Proportional to 405,746.76, 559,920.42 and 224,468.76

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Solution

The fourth proportional to 405,746.76, 559,920.42 and 224,468.76 is: 309,761.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,746.76 : 559,920.42 = 224,468.76 : x
  2. Step 2: Convert to fraction form
    405,746.76/559,920.42 = 224,468.76/x
  3. Step 3: Cross multiply
    405,746.76x = 559,920.42 × 224,468.76
  4. Step 4: Simplify right side
    405,746.76x = 125,684,642,376.08
  5. Step 5: Solve for x
    x = 125,684,642,376.08/405,746.76
  6. Step 6: Final answer
    x = 309,761.30

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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.