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Finding the Fourth Proportional to 500,038.20, 689,881.14 and 285,023.16

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Solution

The fourth proportional to 500,038.20, 689,881.14 and 285,023.16 is: 393,234.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,038.20 : 689,881.14 = 285,023.16 : x
  2. Step 2: Convert to fraction form
    500,038.20/689,881.14 = 285,023.16/x
  3. Step 3: Cross multiply
    500,038.20x = 689,881.14 × 285,023.16
  4. Step 4: Simplify right side
    500,038.20x = 196,632,102,547.20
  5. Step 5: Solve for x
    x = 196,632,102,547.20/500,038.20
  6. Step 6: Final answer
    x = 393,234.16

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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.