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Finding the Fourth Proportional to 489,189.40, 733,784.10 and 302,565.40

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Solution

The fourth proportional to 489,189.40, 733,784.10 and 302,565.40 is: 453,848.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,189.40 : 733,784.10 = 302,565.40 : x
  2. Step 2: Convert to fraction form
    489,189.40/733,784.10 = 302,565.40/x
  3. Step 3: Cross multiply
    489,189.40x = 733,784.10 × 302,565.40
  4. Step 4: Simplify right side
    489,189.40x = 222,017,679,730.14
  5. Step 5: Solve for x
    x = 222,017,679,730.14/489,189.40
  6. Step 6: Final answer
    x = 453,848.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.