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Finding the Fourth Proportional to 405,526.83, 559,618.84 and 224,246.40

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Solution

The fourth proportional to 405,526.83, 559,618.84 and 224,246.40 is: 309,455.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,526.83 : 559,618.84 = 224,246.40 : x
  2. Step 2: Convert to fraction form
    405,526.83/559,618.84 = 224,246.40/x
  3. Step 3: Cross multiply
    405,526.83x = 559,618.84 × 224,246.40
  4. Step 4: Simplify right side
    405,526.83x = 125,492,510,242.18
  5. Step 5: Solve for x
    x = 125,492,510,242.18/405,526.83
  6. Step 6: Final answer
    x = 309,455.51

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