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Finding the Fourth Proportional to 532,097.67, 734,230.17 and 302,684.10

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Solution

The fourth proportional to 532,097.67, 734,230.17 and 302,684.10 is: 417,667.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,097.67 : 734,230.17 = 302,684.10 : x
  2. Step 2: Convert to fraction form
    532,097.67/734,230.17 = 302,684.10/x
  3. Step 3: Cross multiply
    532,097.67x = 734,230.17 × 302,684.10
  4. Step 4: Simplify right side
    532,097.67x = 222,239,798,199.30
  5. Step 5: Solve for x
    x = 222,239,798,199.30/532,097.67
  6. Step 6: Final answer
    x = 417,667.30

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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.